345305656200 has 192 divisors, whose sum is σ = 1127241244800. Its totient is φ = 87269529600.

The previous prime is 345305656187. The next prime is 345305656207. The reversal of 345305656200 is 2656503543.

It is not an unprimeable number, because it can be changed into a prime (345305656207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389420 + ... + 1618980.

It is an arithmetic number, because the mean of its divisors is an integer number (5871048150).

Almost surely, 2^345305656200 is an apocalyptic number.

345305656200 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 345305656200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563620622400).

345305656200 is an abundant number, since it is smaller than the sum of its proper divisors (781935588600).

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

345305656200 is a wasteful number, since it uses less digits than its factorization.

345305656200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229712 (or 229703 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 345305656200 in words is "three hundred forty-five billion, three hundred five million, six hundred fifty-six thousand, two hundred".