345224307200 has 240 divisors, whose sum is σ = 878034025440. Its totient is φ = 134470533120.

The previous prime is 345224307149. The next prime is 345224307203. The reversal of 345224307200 is 2703422543.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (345224307203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76324139 + ... + 76328661.

It is an arithmetic number, because the mean of its divisors is an integer number (3658475106).

Almost surely, 2^345224307200 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 345224307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439017012720).

345224307200 is an abundant number, since it is smaller than the sum of its proper divisors (532809718240).

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

345224307200 is an equidigital number, since it uses as much as digits as its factorization.

345224307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

Adding to 345224307200 its reverse (2703422543), we get a palindrome (347927729743).

The spelling of 345224307200 in words is "three hundred forty-five billion, two hundred twenty-four million, three hundred seven thousand, two hundred".