338085012 has 48 divisors (see below), whose sum is σ = 839764800. Its totient is φ = 105557760.

The previous prime is 338084941. The next prime is 338085017. The reversal of 338085012 is 210580833.

It is a happy number.

It is a super-2 number, since 2×338085012² = 228602950678080288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338085017) 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 15 ways as a sum of consecutive naturals, for example, 11962 + ... + 28622.

It is an arithmetic number, because the mean of its divisors is an integer number (17495100).

Almost surely, 2^338085012 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 338085012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419882400).

338085012 is an abundant number, since it is smaller than the sum of its proper divisors (501679788).

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

338085012 is a wasteful number, since it uses less digits than its factorization.

338085012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16776 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 338085012 is about 18387.0881870948. The cubic root of 338085012 is about 696.6403721166.

The spelling of 338085012 in words is "three hundred thirty-eight million, eighty-five thousand, twelve".