338281168 has 40 divisors (see below), whose sum is σ = 697723200. Its totient is φ = 158425344.

The previous prime is 338281159. The next prime is 338281189. The reversal of 338281168 is 861182833.

It is a super-2 number, since 2×338281168² = 228868297246888448, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 338281168.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20805 + ... + 33307.

It is an arithmetic number, because the mean of its divisors is an integer number (17443080).

Almost surely, 2^338281168 is an apocalyptic number.

338281168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338281168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348861600).

338281168 is an abundant number, since it is smaller than the sum of its proper divisors (359442032).

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

338281168 is a wasteful number, since it uses less digits than its factorization.

338281168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12613 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 338281168 is about 18392.4214827738. The cubic root of 338281168 is about 696.7750756818.

The spelling of 338281168 in words is "three hundred thirty-eight million, two hundred eighty-one thousand, one hundred sixty-eight".