338688168 has 192 divisors, whose sum is σ = 1068134400. Its totient is φ = 87609600.

The previous prime is 338688151. The next prime is 338688193. The reversal of 338688168 is 861886833.

It is a super-2 number, since 2×338688168² = 229419350286392448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 338688168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2242893 + ... + 2243043.

It is an arithmetic number, because the mean of its divisors is an integer number (5563200).

Almost surely, 2^338688168 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 338688168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534067200).

338688168 is an abundant number, since it is smaller than the sum of its proper divisors (729446232).

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

338688168 is a wasteful number, since it uses less digits than its factorization.

338688168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 338688168 is about 18403.4824965277. The cubic root of 338688168 is about 697.0544032813.

The spelling of 338688168 in words is "three hundred thirty-eight million, six hundred eighty-eight thousand, one hundred sixty-eight".