338576 has 20 divisors (see below), whose sum is σ = 749952. Its totient is φ = 145056.

The previous prime is 338573. The next prime is 338579. The reversal of 338576 is 675833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338573) and next prime (338579).

It is a super-2 number, since 2×338576² = 229267415552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1400 + ... + 1623.

2³³⁸⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

338576 is an abundant number, since it is smaller than the sum of its proper divisors (411376).

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

338576 is a wasteful number, since it uses less digits than its factorization.

338576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3032 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 338576 is about 581.8728383418. The cubic root of 338576 is about 69.6977443766.

The spelling of 338576 in words is "three hundred thirty-eight thousand, five hundred seventy-six".