345552200 has 96 divisors (see below), whose sum is σ = 972259200. Its totient is φ = 111498240.

The previous prime is 345552191. The next prime is 345552227. The reversal of 345552200 is 2255543.

345552200 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a self number, because there is not a number n which added to its sum of digits gives 345552200.

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, 16541 + ... + 31059.

It is an arithmetic number, because the mean of its divisors is an integer number (10127700).

Almost surely, 2^345552200 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 345552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486129600).

345552200 is an abundant number, since it is smaller than the sum of its proper divisors (626707000).

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

345552200 is a wasteful number, since it uses less digits than its factorization.

345552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14559 (or 14550 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 345552200 is about 18589.0344020339. The cubic root of 345552200 is about 701.7319019646.

It can be divided in two parts, 3455 and 52200, that added together give a palindrome (55655).

The spelling of 345552200 in words is "three hundred forty-five million, five hundred fifty-two thousand, two hundred".