38757136544 has 96 divisors (see below), whose sum is σ = 87806509056. Its totient is φ = 16495799040.

The previous prime is 38757136501. The next prime is 38757136609. The reversal of 38757136544 is 44563175783.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23248799 + ... + 23250465.

It is an arithmetic number, because the mean of its divisors is an integer number (914651136).

Almost surely, 2^38757136544 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 38757136544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43903254528).

38757136544 is an abundant number, since it is smaller than the sum of its proper divisors (49049372512).

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

38757136544 is a wasteful number, since it uses less digits than its factorization.

38757136544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2330 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 53.

The spelling of 38757136544 in words is "thirty-eight billion, seven hundred fifty-seven million, one hundred thirty-six thousand, five hundred forty-four".