38875584 has 112 divisors (see below), whose sum is σ = 114117120. Its totient is φ = 11581440.

The previous prime is 38875559. The next prime is 38875591. The reversal of 38875584 is 48557883.

It is a super-2 number, since 2×38875584² = 3022622062682112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166732 + ... + 166964.

Almost surely, 2^38875584 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 38875584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

38875584 is an abundant number, since it is smaller than the sum of its proper divisors (75241536).

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

38875584 is a wasteful number, since it uses less digits than its factorization.

38875584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 38875584 is about 6235.0287890274. The cubic root of 38875584 is about 338.7601439390.

38875584 divided by its sum of digits (48) gives a palindrome (809908).

The spelling of 38875584 in words is "thirty-eight million, eight hundred seventy-five thousand, five hundred eighty-four".