38576156304 has 400 divisors, whose sum is σ = 124480921600. Its totient is φ = 10263262464.

The previous prime is 38576156293. The next prime is 38576156321. The reversal of 38576156304 is 40365167583.

38576156304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 172987137 + ... + 172987359.

It is an arithmetic number, because the mean of its divisors is an integer number (311202304).

Almost surely, 2^38576156304 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 38576156304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62240460800).

38576156304 is an abundant number, since it is smaller than the sum of its proper divisors (85904765296).

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

38576156304 is a wasteful number, since it uses less digits than its factorization.

38576156304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 38576156304 in words is "thirty-eight billion, five hundred seventy-six million, one hundred fifty-six thousand, three hundred four".