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3864738960 = 243358321557
BaseRepresentation
bin1110011001011011…
…0011110010010000
3100222100012002012000
43212112303302100
530403333121320
61435254434000
7164525511345
oct34626636220
910870162160
103864738960
1117035a9645
128ba362900
134978b33b4
142893c47cc
15179457c90
hexe65b3c90

3864738960 has 160 divisors (see below), whose sum is σ = 13472887680. Its totient is φ = 1018132992.

The previous prime is 3864738949. The next prime is 3864738961. The reversal of 3864738960 is 698374683.

3864738960 is a `hidden beast` number, since 3 + 86 + 473 + 8 + 96 + 0 = 666.

3864738960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3864738897 and 3864738906.

It is not an unprimeable number, because it can be changed into a prime (3864738961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168502 + ... + 190058.

It is an arithmetic number, because the mean of its divisors is an integer number (84205548).

Almost surely, 23864738960 is an apocalyptic number.

3864738960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3864738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736443840).

3864738960 is an abundant number, since it is smaller than the sum of its proper divisors (9608148720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3864738960 is a wasteful number, since it uses less digits than its factorization.

3864738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21662 (or 21650 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3864738960 is about 62167.0246995946. The cubic root of 3864738960 is about 1569.3026992581.

The spelling of 3864738960 in words is "three billion, eight hundred sixty-four million, seven hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 83 90 108 120 135 144 166 180 216 240 249 270 332 360 415 432 498 540 664 720 747 830 996 1080 1245 1328 1494 1660 1992 2160 2241 2490 2988 3320 3735 3984 4482 4980 5976 6640 7470 8964 9960 11205 11952 14940 17928 19920 21557 22410 29880 35856 43114 44820 59760 64671 86228 89640 107785 129342 172456 179280 194013 215570 258684 323355 344912 388026 431140 517368 582039 646710 776052 862280 970065 1034736 1164078 1293420 1552104 1724560 1789231 1940130 2328156 2586840 2910195 3104208 3578462 3880260 4656312 5173680 5367693 5820390 7156924 7760520 8946155 9312624 10735386 11640780 14313848 15521040 16103079 17892310 21470772 23281560 26838465 28627696 32206158 35784620 42941544 46563120 48309237 53676930 64412316 71569240 80515395 85883088 96618474 107353860 128824632 143138480 161030790 193236948 214707720 241546185 257649264 322061580 386473896 429415440 483092370 644123160 772947792 966184740 1288246320 1932369480 3864738960