38972512512 has 108 divisors (see below), whose sum is σ = 118977325740. Its totient is φ = 12226658304.

The previous prime is 38972512499. The next prime is 38972512531. The reversal of 38972512512 is 21521527983.

38972512512 is a `hidden beast` number, since 3 + 89 + 7 + 2 + 51 + 2 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14079246336 + 24893266176 = 118656^2 + 157776^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458337 + ... + 536672.

It is an arithmetic number, because the mean of its divisors is an integer number (1101641905).

Almost surely, 2^38972512512 is an apocalyptic number.

38972512512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38972512512 is an abundant number, since it is smaller than the sum of its proper divisors (80004813228).

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

38972512512 is a wasteful number, since it uses less digits than its factorization.

38972512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995048 (or 995031 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 38972512512 in words is "thirty-eight billion, nine hundred seventy-two million, five hundred twelve thousand, five hundred twelve".