359385984 has 160 divisors (see below), whose sum is σ = 1132995600. Its totient is φ = 112693248.

The previous prime is 359385979. The next prime is 359386003. The reversal of 359385984 is 489583953.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 359385984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175237 + ... + 177275.

Almost surely, 2^359385984 is an apocalyptic number.

359385984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566497800).

359385984 is an abundant number, since it is smaller than the sum of its proper divisors (773609616).

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

359385984 is a wasteful number, since it uses less digits than its factorization.

359385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2061 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 359385984 is about 18957.4783133200. The cubic root of 359385984 is about 710.9739882595.

The spelling of 359385984 in words is "three hundred fifty-nine million, three hundred eighty-five thousand, nine hundred eighty-four".