338666328 has 384 divisors, whose sum is σ = 1274757120. Its totient is φ = 78382080.

The previous prime is 338666281. The next prime is 338666347. The reversal of 338666328 is 823666833.

338666328 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 2×338666328² = 229389763442007168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2666601 + ... + 2666727.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^338666328 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 338666328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637378560).

338666328 is an abundant number, since it is smaller than the sum of its proper divisors (936090792).

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

338666328 is a wasteful number, since it uses less digits than its factorization.

338666328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 338666328 is about 18402.8891210049. The cubic root of 338666328 is about 697.0394199851.

It can be divided in two parts, 338 and 666328, that added together give a palindrome (666666).

The spelling of 338666328 in words is "three hundred thirty-eight million, six hundred sixty-six thousand, three hundred twenty-eight".