38932076160 has 384 divisors, whose sum is σ = 144821476800. Its totient is φ = 9605578752.

The previous prime is 38932076137. The next prime is 38932076173. The reversal of 38932076160 is 6167023983.

38932076160 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 20 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4701784 + ... + 4710056.

Almost surely, 2^38932076160 is an apocalyptic number.

38932076160 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 38932076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72410738400).

38932076160 is an abundant number, since it is smaller than the sum of its proper divisors (105889400640).

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

38932076160 is a wasteful number, since it uses less digits than its factorization.

38932076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8360 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 38932076160 in words is "thirty-eight billion, nine hundred thirty-two million, seventy-six thousand, one hundred sixty".