38664501600 has 72 divisors (see below), whose sum is σ = 125852960520. Its totient is φ = 10310533120.

The previous prime is 38664501593. The next prime is 38664501641. The reversal of 38664501600 is 610546683.

It is a congruent number.

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, 8052705 + ... + 8057504.

It is an arithmetic number, because the mean of its divisors is an integer number (1747957785).

Almost surely, 2^38664501600 is an apocalyptic number.

38664501600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38664501600 is an abundant number, since it is smaller than the sum of its proper divisors (87188458920).

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

38664501600 is a wasteful number, since it uses less digits than its factorization.

38664501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16110232 (or 16110219 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 38664501600 in words is "thirty-eight billion, six hundred sixty-four million, five hundred one thousand, six hundred".