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3840721940 = 22511171954049
BaseRepresentation
bin1110010011101100…
…1100010000010100
3100220122222220000202
43210323030100110
530331211100230
61433040000032
7164114412026
oct34473142024
910818886022
103840721940
1116a0a95270
128b2300018
13492924743
14286132016
151772b1a45
hexe4ecc414

3840721940 has 96 divisors (see below), whose sum is σ = 9806832000. Its totient is φ = 1245265920.

The previous prime is 3840721939. The next prime is 3840721943. The reversal of 3840721940 is 491270483.

It is a super-2 number, since 2×38407219402 = 29502290040794727200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 3840721894 and 3840721903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840721943) 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, 44036 + ... + 98084.

It is an arithmetic number, because the mean of its divisors is an integer number (102154500).

Almost surely, 23840721940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3840721940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903416000).

3840721940 is an abundant number, since it is smaller than the sum of its proper divisors (5966110060).

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

3840721940 is a wasteful number, since it uses less digits than its factorization.

3840721940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54105 (or 54103 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 3840721940 is about 61973.5583938828. The cubic root of 3840721940 is about 1566.0451857191.

The spelling of 3840721940 in words is "three billion, eight hundred forty million, seven hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1615 1870 2090 3230 3553 3740 4180 6460 7106 14212 17765 35530 54049 71060 108098 216196 270245 540490 594539 918833 1026931 1080980 1189078 1837666 2053862 2378156 2972695 3675332 4107724 4594165 5134655 5945390 9188330 10107163 10269310 11296241 11890780 17457827 18376660 20214326 20538620 22592482 34915654 40428652 45184964 50535815 56481205 69831308 87289135 101071630 112962410 174578270 192036097 202143260 225924820 349156540 384072194 768144388 960180485 1920360970 3840721940