3344132313444 has 96 divisors (see below), whose sum is σ = 8543521929600. Its totient is φ = 1011792153600.

The previous prime is 3344132313437. The next prime is 3344132313451. The reversal of 3344132313444 is 4443132314433.

It is an interprime number because it is at equal distance from previous prime (3344132313437) and next prime (3344132313451).

It is a super-2 number, since 2×3344132313444² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

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 31 ways as a sum of consecutive naturals, for example, 32769739 + ... + 32871629.

It is an arithmetic number, because the mean of its divisors is an integer number (88995020100).

Almost surely, 2^{3344132313444} 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 3344132313444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271760964800).

3344132313444 is an abundant number, since it is smaller than the sum of its proper divisors (5199389616156).

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

3344132313444 is a wasteful number, since it uses less digits than its factorization.

3344132313444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105421 (or 105419 counting only the distinct ones).

The product of its digits is 497664, while the sum is 39.

Adding to 3344132313444 its reverse (4443132314433), we get a palindrome (7787264627877).

The spelling of 3344132313444 in words is "three trillion, three hundred forty-four billion, one hundred thirty-two million, three hundred thirteen thousand, four hundred forty-four".