338124820 has 36 divisors (see below), whose sum is σ = 780487092. Its totient is φ = 122953600.

The previous prime is 338124793. The next prime is 338124847. The reversal of 338124820 is 28421833.

It is an interprime number because it is at equal distance from previous prime (338124793) and next prime (338124847).

It can be written as a sum of positive squares in 2 ways, for example, as 200109316 + 138015504 = 14146^2 + 11748^2 .

It is a super-2 number, since 2×338124820² = 228656787800064800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67441 + ... + 72280.

It is an arithmetic number, because the mean of its divisors is an integer number (21680197).

Almost surely, 2^338124820 is an apocalyptic number.

It is an amenable number.

338124820 is an abundant number, since it is smaller than the sum of its proper divisors (442362272).

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

338124820 is a wasteful number, since it uses less digits than its factorization.

338124820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139752 (or 139739 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 338124820 is about 18388.1706539830. The cubic root of 338124820 is about 696.6677131409.

The spelling of 338124820 in words is "three hundred thirty-eight million, one hundred twenty-four thousand, eight hundred twenty".