338371940 has 24 divisors (see below), whose sum is σ = 712155192. Its totient is φ = 135048960.

The previous prime is 338371937. The next prime is 338371951. The reversal of 338371940 is 49173833.

It can be written as a sum of positive squares in 4 ways, for example, as 26708224 + 311663716 = 5168^2 + 17654^2 .

It is a super-2 number, since 2×338371940² = 228991139558727200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 338371894 and 338371903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9371 + ... + 27650.

It is an arithmetic number, because the mean of its divisors is an integer number (29673133).

Almost surely, 2^338371940 is an apocalyptic number.

It is an amenable number.

338371940 is an abundant number, since it is smaller than the sum of its proper divisors (373783252).

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

338371940 is a wasteful number, since it uses less digits than its factorization.

338371940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37487 (or 37485 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 338371940 is about 18394.8889640574. Note that the first 3 decimals coincide. The cubic root of 338371940 is about 696.8373926899.

The spelling of 338371940 in words is "three hundred thirty-eight million, three hundred seventy-one thousand, nine hundred forty".