338796 has 24 divisors (see below), whose sum is σ = 878640. Its totient is φ = 112896.

The previous prime is 338791. The next prime is 338803. The reversal of 338796 is 697833.

It is a super-2 number, since 2×338796² = 229565459232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 338796.

It is not an unprimeable number, because it can be changed into a prime (338791) by changing a digit.

338796 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, 1461 + ... + 1676.

It is an arithmetic number, because the mean of its divisors is an integer number (36610).

2³³⁸⁷⁹⁶ is an apocalyptic number.

338796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

338796 is an abundant number, since it is smaller than the sum of its proper divisors (539844).

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

338796 is a wasteful number, since it uses less digits than its factorization.

338796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3142 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 338796 is about 582.0618523834. The cubic root of 338796 is about 69.7128371808.

The spelling of 338796 in words is "three hundred thirty-eight thousand, seven hundred ninety-six".