338372361 has 6 divisors (see below), whose sum is σ = 488760090. Its totient is φ = 225581568.

The previous prime is 338372341. The next prime is 338372371. The reversal of 338372361 is 163273833.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 329640336 + 8732025 = 18156^2 + 2955^2 .

It is not a de Polignac number, because 338372361 - 2²¹ = 336275209 is a prime.

It is a super-2 number, since 2×338372361² = 228991709377428642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338372341) 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, 18798456 + ... + 18798473.

It is an arithmetic number, because the mean of its divisors is an integer number (81460015).

Almost surely, 2^338372361 is an apocalyptic number.

It is an amenable number.

338372361 is a deficient number, since it is larger than the sum of its proper divisors (150387729).

338372361 is a wasteful number, since it uses less digits than its factorization.

338372361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37596935 (or 37596932 counting only the distinct ones).

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

The square root of 338372361 is about 18394.9004074499. The cubic root of 338372361 is about 696.8376816899.

The spelling of 338372361 in words is "three hundred thirty-eight million, three hundred seventy-two thousand, three hundred sixty-one".