378312 has 32 divisors (see below), whose sum is σ = 1032480. Its totient is φ = 114560.

The previous prime is 378289. The next prime is 378317. The reversal of 378312 is 213873.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378312.

It is not an unprimeable number, because it can be changed into a prime (378317) 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, 453 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (32265).

2³⁷⁸³¹² is an apocalyptic number.

It is an amenable number.

378312 is an abundant number, since it is smaller than the sum of its proper divisors (654168).

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

378312 is a wasteful number, since it uses less digits than its factorization.

378312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1449 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 378312 is about 615.0707276403. The cubic root of 378312 is about 72.3241556922.

The spelling of 378312 in words is "three hundred seventy-eight thousand, three hundred twelve".