380832 has 24 divisors (see below), whose sum is σ = 999936. Its totient is φ = 126912.

The previous prime is 380819. The next prime is 380837. The reversal of 380832 is 238083.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×380832³ = 165699636333871104, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (380837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1888 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2³⁸⁰⁸³² is an apocalyptic number.

380832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380832 is an abundant number, since it is smaller than the sum of its proper divisors (619104).

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

380832 is a wasteful number, since it uses less digits than its factorization.

380832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3972 counting only the distinct ones).

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

The square root of 380832 is about 617.1158724259. The cubic root of 380832 is about 72.4843882358.

The spelling of 380832 in words is "three hundred eighty thousand, eight hundred thirty-two".