38022432 has 144 divisors (see below), whose sum is σ = 118933920. Its totient is φ = 10601472.

The previous prime is 38022409. The next prime is 38022443. The reversal of 38022432 is 23422083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277468 + ... + 277604.

It is an arithmetic number, because the mean of its divisors is an integer number (825930).

Almost surely, 2^38022432 is an apocalyptic number.

38022432 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 38022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960).

38022432 is an abundant number, since it is smaller than the sum of its proper divisors (80911488).

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

38022432 is a wasteful number, since it uses less digits than its factorization.

38022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 38022432 is about 6166.2332099913. The cubic root of 38022432 is about 336.2636819057.

The spelling of 38022432 in words is "thirty-eight million, twenty-two thousand, four hundred thirty-two".