338431212 has 72 divisors (see below), whose sum is σ = 991137056. Its totient is φ = 95364864.

The previous prime is 338431207. The next prime is 338431213. The reversal of 338431212 is 212134833.

338431212 is a `hidden beast` number, since 338 + 4 + 312 + 12 = 666.

It is a super-2 number, since 2×338431212² = 229071370511577888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338431213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9198 + ... + 27594.

Almost surely, 2^338431212 is an apocalyptic number.

It is a pronic number, being equal to 18396×18397.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495568528).

338431212 is an abundant number, since it is smaller than the sum of its proper divisors (652705844).

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

338431212 is a wasteful number, since it uses less digits than its factorization.

338431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18487 (or 18482 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 338431212 is about 18396.4999932052. The cubic root of 338431212 is about 696.8780782291.

It can be divided in two parts, 3384 and 31212, that added together give a square (34596 = 186²).

The spelling of 338431212 in words is "three hundred thirty-eight million, four hundred thirty-one thousand, two hundred twelve".