3434446444344 has 256 divisors, whose sum is σ = 9907069824000. Its totient is φ = 984827289600.

The previous prime is 3434446444343. The next prime is 3434446444397. The reversal of 3434446444344 is 4434446444343.

It is a Harshad number since it is a multiple of its sum of digits (51).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434446444343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346873794 + ... + 346883694.

It is an arithmetic number, because the mean of its divisors is an integer number (38699491500).

Almost surely, 2^{3434446444344} is an apocalyptic number.

3434446444344 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 3434446444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953534912000).

3434446444344 is an abundant number, since it is smaller than the sum of its proper divisors (6472623379656).

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

3434446444344 is a wasteful number, since it uses less digits than its factorization.

3434446444344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11514 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 51.

Subtracting 3434446444344 from its reverse (4434446444343), we obtain a palindrome (999999999999).

The spelling of 3434446444344 in words is "three trillion, four hundred thirty-four billion, four hundred forty-six million, four hundred forty-four thousand, three hundred forty-four".