38577668096 has 256 divisors, whose sum is σ = 91350547200. Its totient is φ = 16102195200.

The previous prime is 38577668069. The next prime is 38577668113. The reversal of 38577668096 is 69086677583.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294485951 + ... + 294486081.

It is an arithmetic number, because the mean of its divisors is an integer number (356838075).

Almost surely, 2^38577668096 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 38577668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45675273600).

38577668096 is an abundant number, since it is smaller than the sum of its proper divisors (52772879104).

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

38577668096 is a wasteful number, since it uses less digits than its factorization.

38577668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 65.

The spelling of 38577668096 in words is "thirty-eight billion, five hundred seventy-seven million, six hundred sixty-eight thousand, ninety-six".