38057730816 has 864 divisors, whose sum is σ = 136901560320. Its totient is φ = 9289728000.

The previous prime is 38057730773. The next prime is 38057730883. The reversal of 38057730816 is 61803775083.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 376809166 + ... + 376809266.

It is an arithmetic number, because the mean of its divisors is an integer number (158450880).

Almost surely, 2^38057730816 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 38057730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68450780160).

38057730816 is an abundant number, since it is smaller than the sum of its proper divisors (98843829504).

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

38057730816 is a wasteful number, since it uses less digits than its factorization.

38057730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 38057730816 in words is "thirty-eight billion, fifty-seven million, seven hundred thirty thousand, eight hundred sixteen".