338002912 has 48 divisors (see below), whose sum is σ = 719055792. Its totient is φ = 155473920.

The previous prime is 338002909. The next prime is 338002933. The reversal of 338002912 is 219200833.

338002912 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 2×338002912² = 228491937040959488, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138987 + ... + 141397.

It is an arithmetic number, because the mean of its divisors is an integer number (14980329).

Almost surely, 2^338002912 is an apocalyptic number.

338002912 is a gapful number since it is divisible by the number (32) 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 338002912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359527896).

338002912 is an abundant number, since it is smaller than the sum of its proper divisors (381052880).

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

338002912 is a wasteful number, since it uses less digits than its factorization.

338002912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 338002912 is about 18384.8555066392. The cubic root of 338002912 is about 696.5839772231.

The spelling of 338002912 in words is "three hundred thirty-eight million, two thousand, nine hundred twelve".