345205700 has 72 divisors (see below), whose sum is σ = 861528192. Its totient is φ = 117607680.

The previous prime is 345205697. The next prime is 345205727. The reversal of 345205700 is 7502543.

It is a self number, because there is not a number n which added to its sum of digits gives 345205700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115424 + ... + 118376.

Almost surely, 2^345205700 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 345205700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430764096).

345205700 is an abundant number, since it is smaller than the sum of its proper divisors (516322492).

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

345205700 is a wasteful number, since it uses less digits than its factorization.

345205700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 345205700 is about 18579.7120537429. The cubic root of 345205700 is about 701.4972713051.

The spelling of 345205700 in words is "three hundred forty-five million, two hundred five thousand, seven hundred".