38208532872384 has 1344 divisors, whose sum is σ = 137799380992000. Its totient is φ = 9877217034240.

The previous prime is 38208532872379. The next prime is 38208532872397. The reversal of 38208532872384 is 48327823580283.

38208532872384 is a `hidden beast` number, since 3 + 8 + 20 + 8 + 532 + 8 + 72 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93419395572 + ... + 93419395980.

Almost surely, 2^{38208532872384} 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 38208532872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68899690496000).

38208532872384 is an abundant number, since it is smaller than the sum of its proper divisors (99590848119616).

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

38208532872384 is a wasteful number, since it uses less digits than its factorization.

38208532872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 38208532872384 in words is "thirty-eight trillion, two hundred eight billion, five hundred thirty-two million, eight hundred seventy-two thousand, three hundred eighty-four".