338389968 has 80 divisors (see below), whose sum is σ = 1001285120. Its totient is φ = 96467328.

The previous prime is 338389963. The next prime is 338389973. The reversal of 338389968 is 869983833.

It is an interprime number because it is at equal distance from previous prime (338389963) and next prime (338389973).

It is a super-2 number, since 2×338389968² = 229015540886082048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338389963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207171 + ... + 208797.

It is an arithmetic number, because the mean of its divisors is an integer number (12516064).

Almost surely, 2^338389968 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 338389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500642560).

338389968 is an abundant number, since it is smaller than the sum of its proper divisors (662895152).

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

338389968 is a wasteful number, since it uses less digits than its factorization.

338389968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2258 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The square root of 338389968 is about 18395.3789849516. The cubic root of 338389968 is about 696.8497679885.

The spelling of 338389968 in words is "three hundred thirty-eight million, three hundred eighty-nine thousand, nine hundred sixty-eight".