338006682 has 112 divisors (see below), whose sum is σ = 867623400. Its totient is φ = 97790976.

The previous prime is 338006681. The next prime is 338006707. The reversal of 338006682 is 286600833.

It can be written as a sum of positive squares in 4 ways, for example, as 324324081 + 13682601 = 18009^2 + 3699^2 .

It is a super-2 number, since 2×338006682² = 228497034153298248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338006681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 321694 + ... + 322742.

Almost surely, 2^338006682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338006682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433811700).

338006682 is an abundant number, since it is smaller than the sum of its proper divisors (529616718).

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

338006682 is a wasteful number, since it uses less digits than its factorization.

338006682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 338006682 is about 18384.9580363949. The cubic root of 338006682 is about 696.5865670546.

The spelling of 338006682 in words is "three hundred thirty-eight million, six thousand, six hundred eighty-two".