338208032 has 18 divisors (see below), whose sum is σ = 666051939. Its totient is φ = 169052000.

The previous prime is 338208023. The next prime is 338208049. The reversal of 338208032 is 230802833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 169104016 + 169104016 = 13004^2 + 13004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13004.

It is a super-2 number, since 2×338208032² = 228769345818626048, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 338207986 and 338208004.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 102407 + ... + 105657.

Almost surely, 2^338208032 is an apocalyptic number.

338208032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338208032 is a deficient number, since it is larger than the sum of its proper divisors (327843907).

338208032 is an frugal number, since it uses more digits than its factorization.

338208032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 338208032 is about 18390.4331650997. The cubic root of 338208032 is about 696.7248580723.

The spelling of 338208032 in words is "three hundred thirty-eight million, two hundred eight thousand, thirty-two".