378664 has 32 divisors (see below), whose sum is σ = 836640. Its totient is φ = 158400.

The previous prime is 378661. The next prime is 378667. The reversal of 378664 is 466873.

378664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (378661) and next prime (378667).

It is not an unprimeable number, because it can be changed into a prime (378661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (26145).

2³⁷⁸⁶⁶⁴ 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 378664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418320).

378664 is an abundant number, since it is smaller than the sum of its proper divisors (457976).

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

378664 is a wasteful number, since it uses less digits than its factorization.

378664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 378664 is about 615.3568070640. The cubic root of 378664 is about 72.3465800501.

Subtracting 378664 from its reverse (466873), we obtain a square (88209 = 297²).

The spelling of 378664 in words is "three hundred seventy-eight thousand, six hundred sixty-four".