38115792000 has 1024 divisors, whose sum is σ = 165204748800. Its totient is φ = 8515584000.

The previous prime is 38115791971. The next prime is 38115792047. The reversal of 38115792000 is 29751183.

38115792000 is a `hidden beast` number, since 3 + 81 + 1 + 579 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61775692 + ... + 61776308.

Almost surely, 2^38115792000 is an apocalyptic number.

38115792000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38115792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82602374400).

38115792000 is an abundant number, since it is smaller than the sum of its proper divisors (127088956800).

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

38115792000 is a wasteful number, since it uses less digits than its factorization.

38115792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 38115792000 in words is "thirty-eight billion, one hundred fifteen million, seven hundred ninety-two thousand".