384032 has 24 divisors (see below), whose sum is σ = 825552. Its totient is φ = 174400.

The previous prime is 384029. The next prime is 384049. The reversal of 384032 is 230483.

It is a junction number, because it is equal to n+sod(n) for n = 383995 and 384013.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384032.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2³⁸⁴⁰³² is an apocalyptic number.

384032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

384032 is an abundant number, since it is smaller than the sum of its proper divisors (441520).

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

384032 is a wasteful number, since it uses less digits than its factorization.

384032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1104 counting only the distinct ones).

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

The square root of 384032 is about 619.7031547443. The cubic root of 384032 is about 72.6868426801.

The spelling of 384032 in words is "three hundred eighty-four thousand, thirty-two".