358336 has 28 divisors (see below), whose sum is σ = 777240. Its totient is φ = 162560.

The previous prime is 358331. The next prime is 358349. The reversal of 358336 is 633853.

358336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 450 + ... + 958.

2³⁵⁸³³⁶ 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 358336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388620).

358336 is an abundant number, since it is smaller than the sum of its proper divisors (418904).

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

358336 is a wasteful number, since it uses less digits than its factorization.

358336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 358336 is about 598.6117272490. The cubic root of 358336 is about 71.0280917734.

Adding to 358336 its product of digits (6480), we get a square (364816 = 604²).

The spelling of 358336 in words is "three hundred fifty-eight thousand, three hundred thirty-six".