3956586752160 has 384 divisors, whose sum is σ = 15865091827200. Its totient is φ = 902148710400.

The previous prime is 3956586752113. The next prime is 3956586752189. The reversal of 3956586752160 is 612576856593.

It is a happy number.

3956586752160 is a `hidden beast` number, since 3 + 9 + 56 + 58 + 6 + 7 + 521 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12208210 + ... + 12528110.

It is an arithmetic number, because the mean of its divisors is an integer number (41315343300).

Almost surely, 2^{3956586752160} is an apocalyptic number.

3956586752160 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 3956586752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932545913600).

3956586752160 is an abundant number, since it is smaller than the sum of its proper divisors (11908505075040).

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

3956586752160 is a wasteful number, since it uses less digits than its factorization.

3956586752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320341 (or 320327 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 3956586752160 in words is "three trillion, nine hundred fifty-six billion, five hundred eighty-six million, seven hundred fifty-two thousand, one hundred sixty".