3214133441344 has 112 divisors (see below), whose sum is σ = 7336852992000. Its totient is φ = 1368488701440.

The previous prime is 3214133441317. The next prime is 3214133441353. The reversal of 3214133441344 is 4431443314123.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149546439 + ... + 149567929.

It is an arithmetic number, because the mean of its divisors is an integer number (65507616000).

Almost surely, 2^{3214133441344} 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 3214133441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668426496000).

3214133441344 is an abundant number, since it is smaller than the sum of its proper divisors (4122719550656).

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

3214133441344 is a wasteful number, since it uses less digits than its factorization.

3214133441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23676 (or 23666 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 3214133441344 its reverse (4431443314123), we get a palindrome (7645576755467).

The spelling of 3214133441344 in words is "three trillion, two hundred fourteen billion, one hundred thirty-three million, four hundred forty-one thousand, three hundred forty-four".