38793832272 has 240 divisors, whose sum is σ = 118953219840. Its totient is φ = 11730521088.

The previous prime is 38793832229. The next prime is 38793832333. The reversal of 38793832272 is 27223839783.

38793832272 is a `hidden beast` number, since 38 + 7 + 9 + 383 + 227 + 2 = 666.

It is a super-2 number, since 2×38793832272² (a number of 22 digits) contains 22 as substring.

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, 40964503 + ... + 40965449.

It is an arithmetic number, because the mean of its divisors is an integer number (495638416).

Almost surely, 2^38793832272 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 38793832272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59476609920).

38793832272 is an abundant number, since it is smaller than the sum of its proper divisors (80159387568).

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

38793832272 is a wasteful number, since it uses less digits than its factorization.

38793832272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1321 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 38793832272 in words is "thirty-eight billion, seven hundred ninety-three million, eight hundred thirty-two thousand, two hundred seventy-two".