338006664 has 48 divisors (see below), whose sum is σ = 920949120. Its totient is φ = 111990240.

The previous prime is 338006663. The next prime is 338006681. The reversal of 338006664 is 466600833.

338006664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338006664² = 228497009816817792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338006663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2032 + ... + 26079.

It is an arithmetic number, because the mean of its divisors is an integer number (19186440).

Almost surely, 2^338006664 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 338006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460474560).

338006664 is an abundant number, since it is smaller than the sum of its proper divisors (582942456).

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

338006664 is a wasteful number, since it uses less digits than its factorization.

338006664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28290 (or 28283 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 338006664 is about 18384.9575468642. The cubic root of 338006664 is about 696.5865546894.

The spelling of 338006664 in words is "three hundred thirty-eight million, six thousand, six hundred sixty-four".