358009344 has 240 divisors, whose sum is σ = 1289471040. Its totient is φ = 92897280.

The previous prime is 358009319. The next prime is 358009363. The reversal of 358009344 is 443900853.

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

It is a junction number, because it is equal to n+sod(n) for n = 358009299 and 358009308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354312 + ... + 355320.

It is an arithmetic number, because the mean of its divisors is an integer number (5372796).

Almost surely, 2^358009344 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 358009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644735520).

358009344 is an abundant number, since it is smaller than the sum of its proper divisors (931461696).

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

358009344 is a wasteful number, since it uses less digits than its factorization.

358009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1032 counting only the distinct ones).

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

The square root of 358009344 is about 18921.1348496859. The cubic root of 358009344 is about 710.0650234702.

The spelling of 358009344 in words is "three hundred fifty-eight million, nine thousand, three hundred forty-four".