345668800 has 84 divisors (see below), whose sum is σ = 873699040. Its totient is φ = 134507520.

The previous prime is 345668773. The next prime is 345668831. The reversal of 345668800 is 8866543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 56281 + ... + 62119.

Almost surely, 2^345668800 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 345668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436849520).

345668800 is an abundant number, since it is smaller than the sum of its proper divisors (528030240).

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

345668800 is a wasteful number, since it uses less digits than its factorization.

345668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 345668800 is about 18592.1703950884. The cubic root of 345668800 is about 701.8108217712.

The spelling of 345668800 in words is "three hundred forty-five million, six hundred sixty-eight thousand, eight hundred".