382944 has 24 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 127616.

The previous prime is 382939. The next prime is 382961. The reversal of 382944 is 449283.

It is a happy number.

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

It is a super-2 number, since 2×382944² = 293292214272, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382944.

It is an unprimeable number.

382944 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1899 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2³⁸²⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

382944 is an abundant number, since it is smaller than the sum of its proper divisors (622536).

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

382944 is a wasteful number, since it uses less digits than its factorization.

382944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3994 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 382944 is about 618.8246924614. The cubic root of 382944 is about 72.6181347893.

It can be divided in two parts, 382 and 944, that added together give a triangular number (1326 = T₅₁).

The spelling of 382944 in words is "three hundred eighty-two thousand, nine hundred forty-four".