38068076816 has 320 divisors, whose sum is σ = 98993664000. Its totient is φ = 13750732800.

The previous prime is 38068076803. The next prime is 38068076821. The reversal of 38068076816 is 61867086083.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109077410 + ... + 109077758.

It is an arithmetic number, because the mean of its divisors is an integer number (309355200).

Almost surely, 2^38068076816 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 38068076816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832000).

38068076816 is an abundant number, since it is smaller than the sum of its proper divisors (60925587184).

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

38068076816 is a wasteful number, since it uses less digits than its factorization.

38068076816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 38068076816 in words is "thirty-eight billion, sixty-eight million, seventy-six thousand, eight hundred sixteen".