375984 has 60 divisors (see below), whose sum is σ = 1205776. Its totient is φ = 107136.

The previous prime is 375983. The next prime is 375997. The reversal of 375984 is 489573.

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 (375983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 822 + ... + 1194.

2³⁷⁵⁹⁸⁴ 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 375984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602888).

375984 is an abundant number, since it is smaller than the sum of its proper divisors (829792).

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

375984 is a wasteful number, since it uses less digits than its factorization.

375984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 375984 is about 613.1753419700. The cubic root of 375984 is about 72.1754978078.

Subtracting from 375984 its product of digits (30240), we obtain a square (345744 = 588²).

The spelling of 375984 in words is "three hundred seventy-five thousand, nine hundred eighty-four".