345012214400 has 288 divisors, whose sum is σ = 1043626953600. Its totient is φ = 112063150080.

The previous prime is 345012214399. The next prime is 345012214427. The reversal of 345012214400 is 4412210543.

It is a self number, because there is not a number n which added to its sum of digits gives 345012214400.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2921297 + ... + 3037103.

It is an arithmetic number, because the mean of its divisors is an integer number (3623704700).

Almost surely, 2^345012214400 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 345012214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521813476800).

345012214400 is an abundant number, since it is smaller than the sum of its proper divisors (698614739200).

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

345012214400 is a wasteful number, since it uses less digits than its factorization.

345012214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115864 (or 115840 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 345012214400 its reverse (4412210543), we get a palindrome (349424424943).

The spelling of 345012214400 in words is "three hundred forty-five billion, twelve million, two hundred fourteen thousand, four hundred".