380032 has 16 divisors (see below), whose sum is σ = 757350. Its totient is φ = 189952.

The previous prime is 379999. The next prime is 380041. The reversal of 380032 is 230083.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 576 = 616^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 379988 and 380015.

It is an unprimeable number.

380032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 1357 + ... + 1612.

2³⁸⁰⁰³² is an apocalyptic number.

380032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380032 is a deficient number, since it is larger than the sum of its proper divisors (377318).

380032 is an equidigital number, since it uses as much as digits as its factorization.

380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2971 counting only the distinct ones).

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

The square root of 380032 is about 616.4673551779. The cubic root of 380032 is about 72.4335975441.

The spelling of 380032 in words is "three hundred eighty thousand, thirty-two".