378944 has 28 divisors (see below), whose sum is σ = 780288. Its totient is φ = 182400.

The previous prime is 378941. The next prime is 378949. The reversal of 378944 is 449873.

Its product of digits (24192) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (378941) 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, 1889 + ... + 2079.

2³⁷⁸⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144).

378944 is an abundant number, since it is smaller than the sum of its proper divisors (401344).

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

378944 is a wasteful number, since it uses less digits than its factorization.

378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 378944 is about 615.5842753027. The cubic root of 378944 is about 72.3644076858.

The spelling of 378944 in words is "three hundred seventy-eight thousand, nine hundred forty-four".