38232 has 40 divisors (see below), whose sum is σ = 108900. Its totient is φ = 12528.

The previous prime is 38231. The next prime is 38237. The reversal of 38232 is 23283.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38232.

It is not an unprimeable number, because it can be changed into a prime (38231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 619 + ... + 677.

2³⁸²³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54450).

38232 is an abundant number, since it is smaller than the sum of its proper divisors (70668).

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

38232 is a wasteful number, since it uses less digits than its factorization.

38232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 38232 is about 195.5300488416. The cubic root of 38232 is about 33.6880344480.

It can be divided in two parts, 382 and 32, that added together give a palindrome (414).

The spelling of 38232 in words is "thirty-eight thousand, two hundred thirty-two".