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3864065796 = 2234171936923
BaseRepresentation
bin1110011001010000…
…1111011100000100
3100222021220212210000
43212110033130010
530403200101141
61435232201300
7164520005643
oct34624173404
910867825700
103864065796
111703189908
128ba099230
13497708b86
1428928b35a
151793735b6
hexe650f704

3864065796 has 120 divisors (see below), whose sum is σ = 11258866080. Its totient is φ = 1148421888.

The previous prime is 3864065791. The next prime is 3864065809. The reversal of 3864065796 is 6975604683.

3864065796 is a `hidden beast` number, since 3 + 8 + 64 + 0 + 6 + 579 + 6 = 666.

It is a super-2 number, since 2×38640657962 = 29862008951634227232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3864065791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86191 + ... + 123113.

It is an arithmetic number, because the mean of its divisors is an integer number (93823884).

Almost surely, 23864065796 is an apocalyptic number.

3864065796 is a gapful number since it is divisible by the number (36) 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 3864065796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629433040).

3864065796 is an abundant number, since it is smaller than the sum of its proper divisors (7394800284).

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

3864065796 is a wasteful number, since it uses less digits than its factorization.

3864065796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36975 (or 36964 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3864065796 is about 62161.6103073271. The cubic root of 3864065796 is about 1569.2115797427.

The spelling of 3864065796 in words is "three billion, eight hundred sixty-four million, sixty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1292 1377 1539 1836 1938 2052 2754 2907 3078 3876 5508 5814 6156 8721 11628 17442 26163 34884 36923 52326 73846 104652 110769 147692 221538 332307 443076 627691 664614 701537 996921 1255382 1329228 1403074 1883073 1993842 2104611 2510764 2806148 2990763 3766146 3987684 4209222 5649219 5981526 6313833 7532292 8418444 11298438 11926129 11963052 12627666 16947657 18941499 22596876 23852258 25255332 33895314 35778387 37882998 47704516 50842971 56824497 67790628 71556774 75765996 101685942 107335161 113648994 143113548 203371884 214670322 227297988 322005483 429340644 644010966 966016449 1288021932 1932032898 3864065796