344134114212 has 144 divisors (see below), whose sum is σ = 947021967360. Its totient is φ = 96964515648.

The previous prime is 344134114189. The next prime is 344134114267. The reversal of 344134114212 is 212411431443.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 344134114212.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43986133 + ... + 43993955.

It is an arithmetic number, because the mean of its divisors is an integer number (6576541440).

Almost surely, 2^344134114212 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 344134114212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473510983680).

344134114212 is an abundant number, since it is smaller than the sum of its proper divisors (602887853148).

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

344134114212 is a wasteful number, since it uses less digits than its factorization.

344134114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8861 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 344134114212 its reverse (212411431443), we get a palindrome (556545545655).

The spelling of 344134114212 in words is "three hundred forty-four billion, one hundred thirty-four million, one hundred fourteen thousand, two hundred twelve".