38432 has 12 divisors (see below), whose sum is σ = 75726. Its totient is φ = 19200.

The previous prime is 38431. The next prime is 38447. The reversal of 38432 is 23483.

38432 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 16 = 196^2 + 4^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (38431) 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, 569 + ... + 632.

2³⁸⁴³² is an apocalyptic number.

38432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38432 is a deficient number, since it is larger than the sum of its proper divisors (37294).

38432 is a wasteful number, since it uses less digits than its factorization.

38432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 38432 is about 196.0408120775. The cubic root of 38432 is about 33.7466754841.

The spelling of 38432 in words is "thirty-eight thousand, four hundred thirty-two".