338368 has 28 divisors (see below), whose sum is σ = 713232. Its totient is φ = 158720.

The previous prime is 338347. The next prime is 338369. The reversal of 338368 is 863833.

It is a super-2 number, since 2×338368² = 228985806848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 933 + ... + 1243.

2³³⁸³⁶⁸ 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 338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616).

338368 is an abundant number, since it is smaller than the sum of its proper divisors (374864).

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

338368 is a wasteful number, since it uses less digits than its factorization.

338368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 338368 is about 581.6940776731. The cubic root of 338368 is about 69.6834688023.

The spelling of 338368 in words is "three hundred thirty-eight thousand, three hundred sixty-eight".