38047832064 has 576 divisors, whose sum is σ = 128786112000. Its totient is φ = 10705305600.

The previous prime is 38047832047. The next prime is 38047832071. The reversal of 38047832064 is 46023874083.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191195037 + ... + 191195235.

It is an arithmetic number, because the mean of its divisors is an integer number (223587000).

Almost surely, 2^38047832064 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 38047832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056000).

38047832064 is an abundant number, since it is smaller than the sum of its proper divisors (90738279936).

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

38047832064 is a wasteful number, since it uses less digits than its factorization.

38047832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 38047832064 in words is "thirty-eight billion, forty-seven million, eight hundred thirty-two thousand, sixty-four".