38788832 has 48 divisors (see below), whose sum is σ = 81702432. Its totient is φ = 18063360.

The previous prime is 38788831. The next prime is 38788859. The reversal of 38788832 is 23888783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38788831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61157 + ... + 61787.

It is an arithmetic number, because the mean of its divisors is an integer number (1702134).

Almost surely, 2^38788832 is an apocalyptic number.

38788832 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 38788832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40851216).

38788832 is an abundant number, since it is smaller than the sum of its proper divisors (42913600).

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

38788832 is a wasteful number, since it uses less digits than its factorization.

38788832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 763 counting only the distinct ones).

The product of its digits is 516096, while the sum is 47.

The square root of 38788832 is about 6228.0680792682. The cubic root of 38788832 is about 338.5079718876.

The spelling of 38788832 in words is "thirty-eight million, seven hundred eighty-eight thousand, eight hundred thirty-two".