338450688 has 108 divisors (see below), whose sum is σ = 1033358508. Its totient is φ = 106168320.

The previous prime is 338450657. The next prime is 338450711. The reversal of 338450688 is 886054833.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 222845184 = 10752^2 + 14928^2 .

It is a super-2 number, since 2×338450688² = 229097736415346688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34848 + ... + 43488.

Almost surely, 2^338450688 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 338450688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516679254).

338450688 is an abundant number, since it is smaller than the sum of its proper divisors (694907820).

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

338450688 is a wasteful number, since it uses less digits than its factorization.

338450688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8680 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 338450688 is about 18397.0293254101. The cubic root of 338450688 is about 696.8914459256.

The spelling of 338450688 in words is "three hundred thirty-eight million, four hundred fifty thousand, six hundred eighty-eight".