38688832 has 126 divisors (see below), whose sum is σ = 98030538. Its totient is φ = 15095808.

The previous prime is 38688817. The next prime is 38688833. The reversal of 38688832 is 23888683.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 38638656 = 224^2 + 6216^2 .

It is not an unprimeable number, because it can be changed into a prime (38688833) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 529948 + ... + 530020.

Almost surely, 2^38688832 is an apocalyptic number.

38688832 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 38688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49015269).

38688832 is an abundant number, since it is smaller than the sum of its proper divisors (59341706).

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

38688832 is a wasteful number, since it uses less digits than its factorization.

38688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 38688832 is about 6220.0347265912. The cubic root of 38688832 is about 338.2168234050.

The spelling of 38688832 in words is "thirty-eight million, six hundred eighty-eight thousand, eight hundred thirty-two".