378964 has 12 divisors (see below), whose sum is σ = 702324. Its totient is φ = 178304.

The previous prime is 378953. The next prime is 378967. The reversal of 378964 is 469873.

378964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136900 + 242064 = 370^2 + 492^2 .

It is a super-2 number, since 2×378964² = 287227426592, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378967) 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, 2719 + ... + 2854.

It is an arithmetic number, because the mean of its divisors is an integer number (58527).

2³⁷⁸⁹⁶⁴ is an apocalyptic number.

378964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

378964 is a deficient number, since it is larger than the sum of its proper divisors (323360).

378964 is a wasteful number, since it uses less digits than its factorization.

378964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594 (or 5592 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 378964 is about 615.6005198178. The cubic root of 378964 is about 72.3656807523.

Subtracting 378964 from its reverse (469873), we obtain a palindrome (90909).

The spelling of 378964 in words is "three hundred seventy-eight thousand, nine hundred sixty-four".