3932164801152 has 192 divisors, whose sum is σ = 13500098697600. Its totient is φ = 1123475609088.

The previous prime is 3932164801129. The next prime is 3932164801163. The reversal of 3932164801152 is 2511084612393.

3932164801152 is a `hidden beast` number, since 3 + 9 + 3 + 2 + 16 + 480 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3932164801098 and 3932164801107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11440648 + ... + 11779335.

It is an arithmetic number, because the mean of its divisors is an integer number (70313014050).

Almost surely, 2^{3932164801152} is an apocalyptic number.

3932164801152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3932164801152 is an abundant number, since it is smaller than the sum of its proper divisors (9567933896448).

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

3932164801152 is a wasteful number, since it uses less digits than its factorization.

3932164801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23220020 (or 23219995 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3932164801152 in words is "three trillion, nine hundred thirty-two billion, one hundred sixty-four million, eight hundred one thousand, one hundred fifty-two".