338736 has 20 divisors (see below), whose sum is σ = 875192. Its totient is φ = 112896.

The previous prime is 338731. The next prime is 338747. The reversal of 338736 is 637833.

It is a happy number.

It is a super-2 number, since 2×338736² = 229484155392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (338731) by changing a digit.

338736 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 3 ways as a sum of consecutive naturals, for example, 3481 + ... + 3576.

2³³⁸⁷³⁶ is an apocalyptic number.

It is an amenable number.

338736 is an abundant number, since it is smaller than the sum of its proper divisors (536456).

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

338736 is a wasteful number, since it uses less digits than its factorization.

338736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7062 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 338736 is about 582.0103091870. The cubic root of 338736 is about 69.7087216096.

The spelling of 338736 in words is "three hundred thirty-eight thousand, seven hundred thirty-six".