345808900 has 36 divisors (see below), whose sum is σ = 794550708. Its totient is φ = 130186240.

The previous prime is 345808889. The next prime is 345808907. The reversal of 345808900 is 9808543.

It can be written as a sum of positive squares in 6 ways, for example, as 49900096 + 295908804 = 7064^2 + 17202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345808900.

It is not an unprimeable number, because it can be changed into a prime (345808907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100009 + ... + 103408.

It is an arithmetic number, because the mean of its divisors is an integer number (22070853).

Almost surely, 2^345808900 is an apocalyptic number.

It is an amenable number.

345808900 is an abundant number, since it is smaller than the sum of its proper divisors (448741808).

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

345808900 is a wasteful number, since it uses less digits than its factorization.

345808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203448 (or 203441 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 345808900 is about 18595.9377284395. The cubic root of 345808900 is about 701.9056239012.

The spelling of 345808900 in words is "three hundred forty-five million, eight hundred eight thousand, nine hundred".