345501200 has 240 divisors, whose sum is σ = 996364800. Its totient is φ = 113664000.

The previous prime is 345501139. The next prime is 345501203. The reversal of 345501200 is 2105543.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (345501203) 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, 2318726 + ... + 2318874.

It is an arithmetic number, because the mean of its divisors is an integer number (4151520).

Almost surely, 2^345501200 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 345501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498182400).

345501200 is an abundant number, since it is smaller than the sum of its proper divisors (650863600).

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

345501200 is a wasteful number, since it uses less digits than its factorization.

345501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 345501200 is about 18587.6625749447. The cubic root of 345501200 is about 701.6973774289.

Adding to 345501200 its reverse (2105543), we get a palindrome (347606743).

The spelling of 345501200 in words is "three hundred forty-five million, five hundred one thousand, two hundred".