3344402221344 has 288 divisors, whose sum is σ = 10415598036480. Its totient is φ = 1013360025600.

The previous prime is 3344402221339. The next prime is 3344402221379. The reversal of 3344402221344 is 4431222044433.

3344402221344 is a `hidden beast` number, since 3 + 34 + 4 + 402 + 2 + 213 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3344402221344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3344402221299 and 3344402221308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77232339 + ... + 77275629.

It is an arithmetic number, because the mean of its divisors is an integer number (36165270960).

Almost surely, 2^{3344402221344} is an apocalyptic number.

3344402221344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344402221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207799018240).

3344402221344 is an abundant number, since it is smaller than the sum of its proper divisors (7071195815136).

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

3344402221344 is a wasteful number, since it uses less digits than its factorization.

3344402221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43864 (or 43853 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3344402221344 its reverse (4431222044433), we get a palindrome (7775624265777).

The spelling of 3344402221344 in words is "three trillion, three hundred forty-four billion, four hundred two million, two hundred twenty-one thousand, three hundred forty-four".