338102568 has 144 divisors (see below), whose sum is σ = 994312800. Its totient is φ = 103481280.

The previous prime is 338102563. The next prime is 338102621. The reversal of 338102568 is 865201833.

It is a super-2 number, since 2×338102568² = 228626692976389248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338102563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4761973 + ... + 4762043.

It is an arithmetic number, because the mean of its divisors is an integer number (6904950).

Almost surely, 2^338102568 is an apocalyptic number.

338102568 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 338102568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497156400).

338102568 is an abundant number, since it is smaller than the sum of its proper divisors (656210232).

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

338102568 is a wasteful number, since it uses less digits than its factorization.

338102568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 338102568 is about 18387.5655811203. The cubic root of 338102568 is about 696.6524302344.

The spelling of 338102568 in words is "three hundred thirty-eight million, one hundred two thousand, five hundred sixty-eight".