345102800 has 120 divisors (see below), whose sum is σ = 964075200. Its totient is φ = 116259840.

The previous prime is 345102773. The next prime is 345102809. The reversal of 345102800 is 8201543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345102809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164156 + ... + 166244.

It is an arithmetic number, because the mean of its divisors is an integer number (8033960).

Almost surely, 2^345102800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482037600).

345102800 is an abundant number, since it is smaller than the sum of its proper divisors (618972400).

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

345102800 is a wasteful number, since it uses less digits than its factorization.

345102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 345102800 is about 18576.9426978715. The cubic root of 345102800 is about 701.4275628746.

The spelling of 345102800 in words is "three hundred forty-five million, one hundred two thousand, eight hundred".