338216112 has 240 divisors, whose sum is σ = 1106283360. Its totient is φ = 95551488.

The previous prime is 338216111. The next prime is 338216141. The reversal of 338216112 is 211612833.

It is a happy number.

338216112 is a `hidden beast` number, since 338 + 216 + 112 = 666.

338216112 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 2×338216112² = 228780276832793088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (338216111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315888 + ... + 1316144.

It is an arithmetic number, because the mean of its divisors is an integer number (4609514).

Almost surely, 2^338216112 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 338216112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553141680).

338216112 is an abundant number, since it is smaller than the sum of its proper divisors (768067248).

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

338216112 is a wasteful number, since it uses less digits than its factorization.

338216112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 338216112 is about 18390.6528432245. The cubic root of 338216112 is about 696.7304064247.

Adding to 338216112 its reverse (211612833), we get a palindrome (549828945).

The spelling of 338216112 in words is "three hundred thirty-eight million, two hundred sixteen thousand, one hundred twelve".