357984 has 72 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 107520.

The previous prime is 357983. The next prime is 357989. The reversal of 357984 is 489753.

357984 is a `hidden beast` number, since 3 + 579 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (30240) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357983) 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, 3112 + ... + 3224.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2³⁵⁷⁹⁸⁴ 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 357984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

357984 is an abundant number, since it is smaller than the sum of its proper divisors (762408).

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

357984 is a wasteful number, since it uses less digits than its factorization.

357984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

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

The square root of 357984 is about 598.3176413913. The cubic root of 357984 is about 71.0048267564.

Subtracting 357984 from its reverse (489753), we obtain a square (131769 = 363²).

It can be divided in two parts, 3579 and 84, that added together give a palindrome (3663).

The spelling of 357984 in words is "three hundred fifty-seven thousand, nine hundred eighty-four".