338808 has 32 divisors (see below), whose sum is σ = 892800. Its totient is φ = 106848.

The previous prime is 338803. The next prime is 338839. The reversal of 338808 is 808833.

It is a super-2 number, since 2×338808² = 229581721728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338803) by changing a digit.

338808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2³³⁸⁸⁰⁸ is an apocalyptic number.

338808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

338808 is an abundant number, since it is smaller than the sum of its proper divisors (553992).

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

338808 is a wasteful number, since it uses less digits than its factorization.

338808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 338808 is about 582.0721604750. The cubic root of 338808 is about 69.7136602368.

The spelling of 338808 in words is "three hundred thirty-eight thousand, eight hundred eight".