338349312 has 378 divisors, whose sum is σ = 1209760818. Its totient is φ = 94058496.

The previous prime is 338349307. The next prime is 338349329. The reversal of 338349312 is 213943833.

338349312 is a `hidden beast` number, since 338 + 3 + 4 + 9 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 9144576 = 18144^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is a super-2 number, since 2×338349312² = 228960513861746688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9144558 + ... + 9144594.

Almost surely, 2^338349312 is an apocalyptic number.

338349312 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 338349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604880409).

338349312 is an abundant number, since it is smaller than the sum of its proper divisors (871411506).

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

338349312 is an frugal number, since it uses more digits than its factorization.

338349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 338349312 is about 18394.2738916218. The cubic root of 338349312 is about 696.8218591048.

The spelling of 338349312 in words is "three hundred thirty-eight million, three hundred forty-nine thousand, three hundred twelve".