338056736 has 36 divisors (see below), whose sum is σ = 687773646. Its totient is φ = 163560960.

The previous prime is 338056727. The next prime is 338056739. The reversal of 338056736 is 637650833.

It can be written as a sum of positive squares in only one way, i.e., 323280400 + 14776336 = 17980^2 + 3844^2 .

It is a super-2 number, since 2×338056736² = 228564713509947392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338056693 and 338056702.

It is not an unprimeable number, because it can be changed into a prime (338056739) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25256 + ... + 36248.

Almost surely, 2^338056736 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 338056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343886823).

338056736 is an abundant number, since it is smaller than the sum of its proper divisors (349716910).

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

338056736 is a wasteful number, since it uses less digits than its factorization.

338056736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11065 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The square root of 338056736 is about 18386.3192618860. The cubic root of 338056736 is about 696.6209502241.

The spelling of 338056736 in words is "three hundred thirty-eight million, fifty-six thousand, seven hundred thirty-six".