378304 has 28 divisors (see below), whose sum is σ = 786384. Its totient is φ = 180224.

The previous prime is 378289. The next prime is 378317. The reversal of 378304 is 403873.

It is a super-2 number, since 2×378304² = 286227832832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

378304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1344 + ... + 1600.

2³⁷⁸³⁰⁴ 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 378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393192).

378304 is an abundant number, since it is smaller than the sum of its proper divisors (408080).

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

378304 is a wasteful number, since it uses less digits than its factorization.

378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 378304 is about 615.0642242888. The cubic root of 378304 is about 72.3236458861.

The spelling of 378304 in words is "three hundred seventy-eight thousand, three hundred four".