358642944 has 288 divisors, whose sum is σ = 1192060800. Its totient is φ = 105431040.

The previous prime is 358642943. The next prime is 358642967. The reversal of 358642944 is 449246853.

358642944 is a `hidden beast` number, since 3 + 586 + 4 + 29 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×358642944² = 257249522561974272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 358642944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358642943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029652 + ... + 4029740.

It is an arithmetic number, because the mean of its divisors is an integer number (4139100).

Almost surely, 2^358642944 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 358642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596030400).

358642944 is an abundant number, since it is smaller than the sum of its proper divisors (833417856).

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

358642944 is a wasteful number, since it uses less digits than its factorization.

358642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 358642944 is about 18937.8706300365. The cubic root of 358642944 is about 710.4836643612.

The spelling of 358642944 in words is "three hundred fifty-eight million, six hundred forty-two thousand, nine hundred forty-four".