338960820 has 96 divisors (see below), whose sum is σ = 1068834816. Its totient is φ = 79516800.

The previous prime is 338960819. The next prime is 338960857. The reversal of 338960820 is 28069833.

It is a super-2 number, since 2×338960820² = 229788874990144800, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12177 + ... + 28743.

It is an arithmetic number, because the mean of its divisors is an integer number (11133696).

Almost surely, 2^338960820 is an apocalyptic number.

338960820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338960820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534417408).

338960820 is an abundant number, since it is smaller than the sum of its proper divisors (729873996).

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

338960820 is a wasteful number, since it uses less digits than its factorization.

338960820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16621 (or 16619 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 338960820 is about 18410.8886260278. Note that the first 3 decimals coincide. The cubic root of 338960820 is about 697.2414015477.

The spelling of 338960820 in words is "three hundred thirty-eight million, nine hundred sixty thousand, eight hundred twenty".