338533280 has 48 divisors (see below), whose sum is σ = 800944200. Its totient is φ = 135217152.

The previous prime is 338533267. The next prime is 338533289. The reversal of 338533280 is 82335833.

It is a happy number.

338533280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 338118544 + 414736 = 18388^2 + 644^2 .

It is a super-2 number, since 2×338533280² = 229209563335116800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338533280.

It is not an unprimeable number, because it can be changed into a prime (338533289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166832 + ... + 168848.

Almost surely, 2^338533280 is an apocalyptic number.

It is an amenable number.

338533280 is an abundant number, since it is smaller than the sum of its proper divisors (462410920).

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

338533280 is a wasteful number, since it uses less digits than its factorization.

338533280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 338533280 is about 18399.2738987168. The cubic root of 338533280 is about 696.9481287049.

The spelling of 338533280 in words is "three hundred thirty-eight million, five hundred thirty-three thousand, two hundred eighty".