345865121800 has 96 divisors (see below), whose sum is σ = 877541467680. Its totient is φ = 125725875200.

The previous prime is 345865121779. The next prime is 345865121801. The reversal of 345865121800 is 8121568543.

It is not an unprimeable number, because it can be changed into a prime (345865121801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6757104 + ... + 6808096.

It is an arithmetic number, because the mean of its divisors is an integer number (9141056955).

Almost surely, 2^345865121800 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 345865121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438770733840).

345865121800 is an abundant number, since it is smaller than the sum of its proper divisors (531676345880).

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

345865121800 is a wasteful number, since it uses less digits than its factorization.

345865121800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54103 (or 54094 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 345865121800 in words is "three hundred forty-five billion, eight hundred sixty-five million, one hundred twenty-one thousand, eight hundred".