38257857792 has 864 divisors, whose sum is σ = 146422348800. Its totient is φ = 9876142080.

The previous prime is 38257857779. The next prime is 38257857821. The reversal of 38257857792 is 29775875283.

38257857792 is a `hidden beast` number, since 3 + 8 + 2 + 57 + 8 + 577 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234710703 + ... + 234710865.

Almost surely, 2^38257857792 is an apocalyptic number.

38257857792 is a gapful number since it is divisible by the number (32) 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 38257857792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73211174400).

38257857792 is an abundant number, since it is smaller than the sum of its proper divisors (108164491008).

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

38257857792 is an equidigital number, since it uses as much as digits as its factorization.

38257857792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 38257857792 in words is "thirty-eight billion, two hundred fifty-seven million, eight hundred fifty-seven thousand, seven hundred ninety-two".