338634 has 16 divisors (see below), whose sum is σ = 752640. Its totient is φ = 112860.

The previous prime is 338609. The next prime is 338659. The reversal of 338634 is 436833.

338634 is nontrivially palindromic in base 7.

338634 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338609) and next prime (338659).

It is a super-2 number, since 2×338634² = 229345971912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 338598 and 338607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3082 + ... + 3189.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

2³³⁸⁶³⁴ is an apocalyptic number.

338634 is an abundant number, since it is smaller than the sum of its proper divisors (414006).

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

338634 is a wasteful number, since it uses less digits than its factorization.

338634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6276 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 338634 is about 581.9226752757. The cubic root of 338634 is about 69.7017240231.

The spelling of 338634 in words is "three hundred thirty-eight thousand, six hundred thirty-four".