38890752 has 72 divisors (see below), whose sum is σ = 104979840. Its totient is φ = 12779520.

The previous prime is 38890751. The next prime is 38890759. The reversal of 38890752 is 25709883.

It is a super-2 number, since 2×38890752² = 3024981182251008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38890751) 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, 60352 + ... + 60992.

Almost surely, 2^38890752 is an apocalyptic number.

38890752 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 38890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52489920).

38890752 is an abundant number, since it is smaller than the sum of its proper divisors (66089088).

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

38890752 is an equidigital number, since it uses as much as digits as its factorization.

38890752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 38890752 is about 6236.2450240509. The cubic root of 38890752 is about 338.8041959738.

The spelling of 38890752 in words is "thirty-eight million, eight hundred ninety thousand, seven hundred fifty-two".