38753379600 has 120 divisors (see below), whose sum is σ = 133689276672. Its totient is φ = 9539289600.

The previous prime is 38753379593. The next prime is 38753379629. The reversal of 38753379600 is 697335783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1226496 + ... + 1257695.

Almost surely, 2^38753379600 is an apocalyptic number.

38753379600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38753379600 is an abundant number, since it is smaller than the sum of its proper divisors (94935897072).

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

38753379600 is a wasteful number, since it uses less digits than its factorization.

38753379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484225 (or 2484214 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 38753379600 in words is "thirty-eight billion, seven hundred fifty-three million, three hundred seventy-nine thousand, six hundred".