38875392 has 108 divisors (see below), whose sum is σ = 114791040. Its totient is φ = 12647424.

The previous prime is 38875391. The next prime is 38875409. The reversal of 38875392 is 29357883.

38875392 is a `hidden beast` number, since 38 + 87 + 539 + 2 = 666.

It is a super-2 number, since 2×38875392² = 3022592206307328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38875391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108109 + ... + 108467.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^38875392 is an apocalyptic number.

38875392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57395520).

38875392 is an abundant number, since it is smaller than the sum of its proper divisors (75915648).

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

38875392 is a wasteful number, since it uses less digits than its factorization.

38875392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 38875392 is about 6235.0133921268. The cubic root of 38875392 is about 338.7595862449.

The spelling of 38875392 in words is "thirty-eight million, eight hundred seventy-five thousand, three hundred ninety-two".