3344414421140 has 192 divisors, whose sum is σ = 7740630245376. Its totient is φ = 1206303694848.

The previous prime is 3344414421133. The next prime is 3344414421169. The reversal of 3344414421140 is 411244144433.

It is a super-2 number, since 2×3344414421140² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3344414421140.

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 63 ways as a sum of consecutive naturals, for example, 2803364384 + ... + 2803365576.

It is an arithmetic number, because the mean of its divisors is an integer number (40315782528).

Almost surely, 2^{3344414421140} 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 3344414421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870315122688).

3344414421140 is an abundant number, since it is smaller than the sum of its proper divisors (4396215824236).

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

3344414421140 is a wasteful number, since it uses less digits than its factorization.

3344414421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 3344414421140 its reverse (411244144433), we get a palindrome (3755658565573).

The spelling of 3344414421140 in words is "three trillion, three hundred forty-four billion, four hundred fourteen million, four hundred twenty-one thousand, one hundred forty".