338884 has 48 divisors (see below), whose sum is σ = 784000. Its totient is φ = 127008.

The previous prime is 338867. The next prime is 338893. The reversal of 338884 is 488833.

It is a happy number.

It is a super-2 number, since 2×338884² = 229684730912, which contains 22 as substring.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17827 + ... + 17845.

2³³⁸⁸⁸⁴ 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 338884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392000).

338884 is an abundant number, since it is smaller than the sum of its proper divisors (445116).

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

338884 is a wasteful number, since it uses less digits than its factorization.

338884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 338884 is about 582.1374408162. The cubic root of 338884 is about 69.7188724731.

The spelling of 338884 in words is "three hundred thirty-eight thousand, eight hundred eighty-four".