344412104200 has 96 divisors (see below), whose sum is σ = 803724629760. Its totient is φ = 137255270400.

The previous prime is 344412104191. The next prime is 344412104203. The reversal of 344412104200 is 2401214443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (344412104203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113254680 + ... + 113257720.

It is an arithmetic number, because the mean of its divisors is an integer number (8372131560).

Almost surely, 2^344412104200 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 344412104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401862314880).

344412104200 is an abundant number, since it is smaller than the sum of its proper divisors (459312525560).

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

344412104200 is a wasteful number, since it uses less digits than its factorization.

344412104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 344412104200 its reverse (2401214443), we get a palindrome (346813318643).

The spelling of 344412104200 in words is "three hundred forty-four billion, four hundred twelve million, one hundred four thousand, two hundred".