338676 has 36 divisors (see below), whose sum is σ = 860832. Its totient is φ = 103584.

The previous prime is 338669. The next prime is 338683. The reversal of 338676 is 676833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338669) and next prime (338683).

It is a super-2 number, since 2×338676² = 229402865952, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

338676 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 11 ways as a sum of consecutive naturals, for example, 1945 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (23912).

2³³⁸⁶⁷⁶ 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 338676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430416).

338676 is an abundant number, since it is smaller than the sum of its proper divisors (522156).

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

338676 is a wasteful number, since it uses less digits than its factorization.

338676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 338676 is about 581.9587614256. The cubic root of 338676 is about 69.7046055524.

The spelling of 338676 in words is "three hundred thirty-eight thousand, six hundred seventy-six".