3314739751344 has 480 divisors, whose sum is σ = 11190723747840. Its totient is φ = 895945881600.

The previous prime is 3314739751307. The next prime is 3314739751361. The reversal of 3314739751344 is 4431579374133.

3314739751344 is a `hidden beast` number, since 3 + 3 + 1 + 473 + 97 + 51 + 34 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374077474 + ... + 374086334.

It is an arithmetic number, because the mean of its divisors is an integer number (23314007808).

Almost surely, 2^{3314739751344} 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 3314739751344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595361873920).

3314739751344 is an abundant number, since it is smaller than the sum of its proper divisors (7875983996496).

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

3314739751344 is a wasteful number, since it uses less digits than its factorization.

3314739751344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9169 (or 9160 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 3314739751344 in words is "three trillion, three hundred fourteen billion, seven hundred thirty-nine million, seven hundred fifty-one thousand, three hundred forty-four".