338153280 has 112 divisors (see below), whose sum is σ = 1080723264. Its totient is φ = 89579520.

The previous prime is 338153267. The next prime is 338153327. The reversal of 338153280 is 82351833.

It is a super-2 number, since 2×338153280² = 228695281549516800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 155400 + ... + 157560.

Almost surely, 2^338153280 is an apocalyptic number.

338153280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540361632).

338153280 is an abundant number, since it is smaller than the sum of its proper divisors (742569984).

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

338153280 is a wasteful number, since it uses less digits than its factorization.

338153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 338153280 is about 18388.9445047833. The cubic root of 338153280 is about 696.6872587896.

The spelling of 338153280 in words is "three hundred thirty-eight million, one hundred fifty-three thousand, two hundred eighty".