338352768 has 256 divisors, whose sum is σ = 1141257600. Its totient is φ = 97763328.

The previous prime is 338352757. The next prime is 338352811. The reversal of 338352768 is 867253833.

It is a super-2 number, since 2×338352768² = 228965191226523648, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 763555 + ... + 763997.

Almost surely, 2^338352768 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 338352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570628800).

338352768 is an abundant number, since it is smaller than the sum of its proper divisors (802904832).

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

338352768 is a wasteful number, since it uses less digits than its factorization.

338352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 338352768 is about 18394.3678336604. The cubic root of 338352768 is about 696.8242316116.

The spelling of 338352768 in words is "three hundred thirty-eight million, three hundred fifty-two thousand, seven hundred sixty-eight".