3114211433344 has 128 divisors (see below), whose sum is σ = 6889001011200. Its totient is φ = 1390413158400.

The previous prime is 3114211433329. The next prime is 3114211433353. The reversal of 3114211433344 is 4433341124113.

3114211433344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26833489 + ... + 26949295.

It is an arithmetic number, because the mean of its divisors is an integer number (53820320400).

Almost surely, 2^{3114211433344} 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 3114211433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444500505600).

3114211433344 is an abundant number, since it is smaller than the sum of its proper divisors (3774789577856).

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

3114211433344 is a wasteful number, since it uses less digits than its factorization.

3114211433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116172 (or 116160 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 3114211433344 its reverse (4433341124113), we get a palindrome (7547552557457).

The spelling of 3114211433344 in words is "three trillion, one hundred fourteen billion, two hundred eleven million, four hundred thirty-three thousand, three hundred forty-four".