38132596260864 has 360 divisors, whose sum is σ = 130557099033088. Its totient is φ = 10895019540480.

The previous prime is 38132596260859. The next prime is 38132596260911. The reversal of 38132596260864 is 46806269523183.

38132596260864 is a `hidden beast` number, since 3 + 8 + 1 + 32 + 596 + 2 + 6 + 0 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×38132596260864² (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 27185049 + ... + 28553319.

Almost surely, 2^{38132596260864} 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 38132596260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65278549516544).

38132596260864 is an abundant number, since it is smaller than the sum of its proper divisors (92424502772224).

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

38132596260864 is an frugal number, since it uses more digits than its factorization.

38132596260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368321 (or 1368283 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 38132596260864 in words is "thirty-eight trillion, one hundred thirty-two billion, five hundred ninety-six million, two hundred sixty thousand, eight hundred sixty-four".