364338 has 40 divisors (see below), whose sum is σ = 884268. Its totient is φ = 111456.

The previous prime is 364337. The next prime is 364349. The reversal of 364338 is 833463.

It can be written as a sum of positive squares in 2 ways, for example, as 363609 + 729 = 603^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364338.

It is not an unprimeable number, because it can be changed into a prime (364333) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2020 + ... + 2192.

2³⁶⁴³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442134).

364338 is an abundant number, since it is smaller than the sum of its proper divisors (519930).

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

364338 is a wasteful number, since it uses less digits than its factorization.

364338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 364338 is about 603.6041749359. The cubic root of 364338 is about 71.4224630967.

The spelling of 364338 in words is "three hundred sixty-four thousand, three hundred thirty-eight".