38097925344 has 192 divisors, whose sum is σ = 117847457280. Its totient is φ = 11932784640.

The previous prime is 38097925337. The next prime is 38097925363. The reversal of 38097925344 is 44352979083.

38097925344 is a `hidden beast` number, since 38 + 0 + 9 + 79 + 2 + 534 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10911439 + ... + 10914929.

It is an arithmetic number, because the mean of its divisors is an integer number (613788840).

Almost surely, 2^38097925344 is an apocalyptic number.

38097925344 is a gapful number since it is divisible by the number (34) 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 38097925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58923728640).

38097925344 is an abundant number, since it is smaller than the sum of its proper divisors (79749531936).

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

38097925344 is a wasteful number, since it uses less digits than its factorization.

38097925344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 38097925344 in words is "thirty-eight billion, ninety-seven million, nine hundred twenty-five thousand, three hundred forty-four".