338611361 has 12 divisors (see below), whose sum is σ = 374273172. Its totient is φ = 306108000.

The previous prime is 338611349. The next prime is 338611379. The reversal of 338611361 is 163116833.

It can be written as a sum of positive squares in 2 ways, for example, as 27300625 + 311310736 = 5225^2 + 17644^2 .

It is a de Polignac number, because none of the positive numbers 2^k-338611361 is a prime.

It is a super-2 number, since 2×338611361² = 229315307596544642, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338611381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14171 + ... + 29631.

It is an arithmetic number, because the mean of its divisors is an integer number (31189431).

Almost surely, 2^338611361 is an apocalyptic number.

It is an amenable number.

338611361 is a deficient number, since it is larger than the sum of its proper divisors (35661811).

338611361 is a wasteful number, since it uses less digits than its factorization.

338611361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664 (or 15653 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 338611361 is about 18401.3956264192. The cubic root of 338611361 is about 697.0017071139.

The spelling of 338611361 in words is "three hundred thirty-eight million, six hundred eleven thousand, three hundred sixty-one".