338637312 has 120 divisors (see below), whose sum is σ = 1052695644. Its totient is φ = 104177664.

The previous prime is 338637301. The next prime is 338637317. The reversal of 338637312 is 213736833.

It is a happy number.

338637312 is a `hidden beast` number, since 3 + 3 + 8 + 637 + 3 + 12 = 666.

338637312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 337971456 + 665856 = 18384^2 + 816^2 .

It is a super-2 number, since 2×338637312² = 229350458157170688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338637317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57078 + ... + 62730.

Almost surely, 2^338637312 is an apocalyptic number.

338637312 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 338637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526347822).

338637312 is an abundant number, since it is smaller than the sum of its proper divisors (714058332).

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

338637312 is a wasteful number, since it uses less digits than its factorization.

338637312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5671 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 338637312 is about 18402.1007496427. The cubic root of 338637312 is about 697.0195126095.

The spelling of 338637312 in words is "three hundred thirty-eight million, six hundred thirty-seven thousand, three hundred twelve".