38512185264 has 320 divisors, whose sum is σ = 131423334400. Its totient is φ = 10568143872.

The previous prime is 38512185247. The next prime is 38512185293. The reversal of 38512185264 is 46258121583.

38512185264 is a `hidden beast` number, since 38 + 512 + 1 + 85 + 26 + 4 = 666.

38512185264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8836974 + ... + 8841330.

It is an arithmetic number, because the mean of its divisors is an integer number (410697920).

Almost surely, 2^38512185264 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 38512185264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65711667200).

38512185264 is an abundant number, since it is smaller than the sum of its proper divisors (92911149136).

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

38512185264 is a wasteful number, since it uses less digits than its factorization.

38512185264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4485 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 38512185264 in words is "thirty-eight billion, five hundred twelve million, one hundred eighty-five thousand, two hundred sixty-four".