358303680 has 252 divisors, whose sum is σ = 1434190680. Its totient is φ = 81865728.

The previous prime is 358303669. The next prime is 358303681. The reversal of 358303680 is 86303853.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (358303681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139851 + ... + 142389.

Almost surely, 2^358303680 is an apocalyptic number.

358303680 is a gapful number since it is divisible by the number (30) 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 358303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717095340).

358303680 is an abundant number, since it is smaller than the sum of its proper divisors (1075887000).

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

358303680 is a wasteful number, since it uses less digits than its factorization.

358303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 358303680 is about 18928.9112206698. The cubic root of 358303680 is about 710.2595625726.

The spelling of 358303680 in words is "three hundred fifty-eight million, three hundred three thousand, six hundred eighty".