344133431020 has 96 divisors (see below), whose sum is σ = 756116766720. Its totient is φ = 131408110080.

The previous prime is 344133431011. The next prime is 344133431027. The reversal of 344133431020 is 20134331443.

It is a self number, because there is not a number n which added to its sum of digits gives 344133431020.

It is not an unprimeable number, because it can be changed into a prime (344133431027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70185889 + ... + 70190791.

It is an arithmetic number, because the mean of its divisors is an integer number (7876216320).

Almost surely, 2^344133431020 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 344133431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378058383360).

344133431020 is an abundant number, since it is smaller than the sum of its proper divisors (411983335700).

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

344133431020 is a wasteful number, since it uses less digits than its factorization.

344133431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 344133431020 its reverse (20134331443), we get a palindrome (364267762463).

The spelling of 344133431020 in words is "three hundred forty-four billion, one hundred thirty-three million, four hundred thirty-one thousand, twenty".