338275968 has 128 divisors (see below), whose sum is σ = 938595840. Its totient is φ = 107827200.

The previous prime is 338275933. The next prime is 338275991. The reversal of 338275968 is 869572833.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×338275968² = 228861261052674048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338275968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1868838 + ... + 1869018.

It is an arithmetic number, because the mean of its divisors is an integer number (7332780).

Almost surely, 2^338275968 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 338275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469297920).

338275968 is an abundant number, since it is smaller than the sum of its proper divisors (600319872).

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

338275968 is a wasteful number, since it uses less digits than its factorization.

338275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 338275968 is about 18392.2801196589. The cubic root of 338275968 is about 696.7715054279.

The spelling of 338275968 in words is "three hundred thirty-eight million, two hundred seventy-five thousand, nine hundred sixty-eight".