38019725568 has 324 divisors, whose sum is σ = 124979063664. Its totient is φ = 11518848000.

The previous prime is 38019725561. The next prime is 38019725573. The reversal of 38019725568 is 86552791083.

38019725568 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 9 + 72 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38019725561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7524643 + ... + 7529693.

Almost surely, 2^38019725568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38019725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62489531832).

38019725568 is an abundant number, since it is smaller than the sum of its proper divisors (86959338096).

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

38019725568 is an equidigital number, since it uses as much as digits as its factorization.

38019725568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 38019725568 in words is "thirty-eight billion, nineteen million, seven hundred twenty-five thousand, five hundred sixty-eight".