38715792000 has 128 divisors (see below), whose sum is σ = 128343009600. Its totient is φ = 10324198400.

The previous prime is 38715791987. The next prime is 38715792013. The reversal of 38715792000 is 29751783.

It is an interprime number because it is at equal distance from previous prime (38715791987) and next prime (38715792013).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355290 + ... + 451289.

Almost surely, 2^38715792000 is an apocalyptic number.

38715792000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38715792000 is an abundant number, since it is smaller than the sum of its proper divisors (89627217600).

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

38715792000 is an equidigital number, since it uses as much as digits as its factorization.

38715792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806611 (or 806589 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 38715792000 in words is "thirty-eight billion, seven hundred fifteen million, seven hundred ninety-two thousand".