338901312 has 56 divisors (see below), whose sum is σ = 905434816. Its totient is φ = 111863808.

The previous prime is 338901293. The next prime is 338901317. The reversal of 338901312 is 213109833.

It is a super-2 number, since 2×338901312² = 229708198550642688, 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 338901312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338901317) by changing a digit.

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, 11208 + ... + 28344.

Almost surely, 2^338901312 is an apocalyptic number.

338901312 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 338901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452717408).

338901312 is an abundant number, since it is smaller than the sum of its proper divisors (566533504).

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

338901312 is a wasteful number, since it uses less digits than its factorization.

338901312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17255 (or 17245 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 338901312 is about 18409.2724462430. The cubic root of 338901312 is about 697.2005965666.

The spelling of 338901312 in words is "three hundred thirty-eight million, nine hundred one thousand, three hundred twelve".