345302944800 has 288 divisors, whose sum is σ = 1290674891520. Its totient is φ = 79303910400.

The previous prime is 345302944757. The next prime is 345302944817. The reversal of 345302944800 is 8449203543.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157399 + ... + 845801.

It is an arithmetic number, because the mean of its divisors is an integer number (4481510040).

Almost surely, 2^345302944800 is an apocalyptic number.

345302944800 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 345302944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645337445760).

345302944800 is an abundant number, since it is smaller than the sum of its proper divisors (945371946720).

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

345302944800 is a wasteful number, since it uses less digits than its factorization.

345302944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688456 (or 688443 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 345302944800 in words is "three hundred forty-five billion, three hundred two million, nine hundred forty-four thousand, eight hundred".