338038120 has 64 divisors (see below), whose sum is σ = 915004800. Its totient is φ = 109797120.

The previous prime is 338038097. The next prime is 338038133. The reversal of 338038120 is 21830833.

It is a super-2 number, since 2×338038120² = 228539541146268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26451 + ... + 37090.

It is an arithmetic number, because the mean of its divisors is an integer number (14296950).

Almost surely, 2^338038120 is an apocalyptic number.

It is an amenable number.

338038120 is an abundant number, since it is smaller than the sum of its proper divisors (576966680).

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

338038120 is a wasteful number, since it uses less digits than its factorization.

338038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63578 (or 63574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 338038120 is about 18385.8130089480. The cubic root of 338038120 is about 696.6081628896.

Adding to 338038120 its reverse (21830833), we get a palindrome (359868953).

The spelling of 338038120 in words is "three hundred thirty-eight million, thirty-eight thousand, one hundred twenty".