338121980 has 48 divisors (see below), whose sum is σ = 826822080. Its totient is φ = 113737728.

The previous prime is 338121977. The next prime is 338121983. The reversal of 338121980 is 89121833.

338121980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338121977) and next prime (338121983).

It is a super-2 number, since 2×338121980² = 228652946718240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 338121980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338121983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15365 + ... + 30204.

It is an arithmetic number, because the mean of its divisors is an integer number (17225460).

Almost surely, 2^338121980 is an apocalyptic number.

It is an amenable number.

338121980 is an abundant number, since it is smaller than the sum of its proper divisors (488700100).

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

338121980 is a wasteful number, since it uses less digits than its factorization.

338121980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45638 (or 45636 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 338121980 is about 18388.0934302608. The cubic root of 338121980 is about 696.6657626365.

The spelling of 338121980 in words is "three hundred thirty-eight million, one hundred twenty-one thousand, nine hundred eighty".