378984 has 16 divisors (see below), whose sum is σ = 947520. Its totient is φ = 126320.

The previous prime is 378977. The next prime is 378997. The reversal of 378984 is 489873.

378984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

378984 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, 7872 + ... + 7919.

It is an arithmetic number, because the mean of its divisors is an integer number (59220).

2³⁷⁸⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

378984 is an abundant number, since it is smaller than the sum of its proper divisors (568536).

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

378984 is a wasteful number, since it uses less digits than its factorization.

378984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15800 (or 15796 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 378984 is about 615.6167639043. The cubic root of 378984 is about 72.3669537739.

Subtracting 378984 from its reverse (489873), we obtain a square (110889 = 333²).

It can be divided in two parts, 3 and 78984, that added together give a palindrome (78987).

The spelling of 378984 in words is "three hundred seventy-eight thousand, nine hundred eighty-four".