338742920 has 32 divisors (see below), whose sum is σ = 771361920. Its totient is φ = 133863360.

The previous prime is 338742889. The next prime is 338742923. The reversal of 338742920 is 29247833.

It is a happy number.

It is a super-2 number, since 2×338742920² = 229493531700252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338742923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47696 + ... + 54335.

It is an arithmetic number, because the mean of its divisors is an integer number (24105060).

Almost surely, 2^338742920 is an apocalyptic number.

It is an amenable number.

338742920 is an abundant number, since it is smaller than the sum of its proper divisors (432619000).

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

338742920 is a wasteful number, since it uses less digits than its factorization.

338742920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102125 (or 102121 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 338742920 is about 18404.9699809589. The cubic root of 338742920 is about 697.0919629698.

The spelling of 338742920 in words is "three hundred thirty-eight million, seven hundred forty-two thousand, nine hundred twenty".