38832 has 20 divisors (see below), whose sum is σ = 100440. Its totient is φ = 12928.

The previous prime is 38821. The next prime is 38833. The reversal of 38832 is 23883.

38832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (38833) by changing a digit.

38832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2³⁸⁸³² is an apocalyptic number.

It is an amenable number.

38832 is an abundant number, since it is smaller than the sum of its proper divisors (61608).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220).

38832 is a wasteful number, since it uses less digits than its factorization.

38832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 38832 is about 197.0583669881. The cubic root of 38832 is about 33.8633500241.

The spelling of 38832 in words is "thirty-eight thousand, eight hundred thirty-two".