338041768 has 32 divisors (see below), whose sum is σ = 685231200. Its totient is φ = 155794752.

The previous prime is 338041727. The next prime is 338041771. The reversal of 338041768 is 867140833.

338041768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338041768² = 228544473825131648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 338041768.

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, 24430 + ... + 35677.

It is an arithmetic number, because the mean of its divisors is an integer number (21413475).

Almost surely, 2^338041768 is an apocalyptic number.

338041768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

338041768 is an abundant number, since it is smaller than the sum of its proper divisors (347189432).

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

338041768 is a wasteful number, since it uses less digits than its factorization.

338041768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60169 (or 60165 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 338041768 is about 18385.9122156068. The cubic root of 338041768 is about 696.6106687386.

The spelling of 338041768 in words is "three hundred thirty-eight million, forty-one thousand, seven hundred sixty-eight".