38790432 has 54 divisors (see below), whose sum is σ = 110611683. Its totient is φ = 12894912.

The previous prime is 38790407. The next prime is 38790439. The reversal of 38790432 is 23409783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 19395216 + 19395216 = 4404^2 + 4404^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4404.

It is a super-2 number, since 2×38790432² = 3009395229493248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38790439) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105513 + ... + 105879.

Almost surely, 2^38790432 is an apocalyptic number.

38790432 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 38790432

38790432 is an abundant number, since it is smaller than the sum of its proper divisors (71821251).

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

38790432 is an equidigital number, since it uses as much as digits as its factorization.

38790432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 38790432 is about 6228.1965286911. The cubic root of 38790432 is about 338.5126261939.

The spelling of 38790432 in words is "thirty-eight million, seven hundred ninety thousand, four hundred thirty-two".