38032 has 10 divisors (see below), whose sum is σ = 73718. Its totient is φ = 19008.

The previous prime is 38011. The next prime is 38039. The reversal of 38032 is 23083.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 7056 = 176^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 2377 = 38032 / (3 + 8 + 0 + 3 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 37997 and 38015.

It is not an unprimeable number, because it can be changed into a prime (38039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1173 + ... + 1204.

2³⁸⁰³² is an apocalyptic number.

It is an amenable number.

38032 is a deficient number, since it is larger than the sum of its proper divisors (35686).

38032 is a wasteful number, since it uses less digits than its factorization.

38032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 38032 is about 195.0179478920. The cubic root of 38032 is about 33.6291885442.

The spelling of 38032 in words is "thirty-eight thousand, thirty-two".