378864 has 40 divisors (see below), whose sum is σ = 1088720. Its totient is φ = 126144.

The previous prime is 378823. The next prime is 378869. The reversal of 378864 is 468873.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378869) by changing a digit.

378864 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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (27218).

2³⁷⁸⁸⁶⁴ 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 378864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544360).

378864 is an abundant number, since it is smaller than the sum of its proper divisors (709856).

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

378864 is a wasteful number, since it uses less digits than its factorization.

378864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 378864 is about 615.5192929551. The cubic root of 378864 is about 72.3593149720.

Subtracting 378864 from its reverse (468873), we obtain a palindrome (90009).

The spelling of 378864 in words is "three hundred seventy-eight thousand, eight hundred sixty-four".