3422544305440 has 96 divisors (see below), whose sum is σ = 8716377947760. Its totient is φ = 1262455455744.

The previous prime is 3422544305423. The next prime is 3422544305449. The reversal of 3422544305440 is 445034452243.

3422544305440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1668116901136 + 1754427404304 = 1291556^2 + 1324548^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3422544305393 and 3422544305402.

It is not an unprimeable number, because it can be changed into a prime (3422544305449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283332 + ... + 2914108.

Almost surely, 2^{3422544305440} 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 3422544305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358188973880).

3422544305440 is an abundant number, since it is smaller than the sum of its proper divisors (5293833642320).

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

3422544305440 is a wasteful number, since it uses less digits than its factorization.

3422544305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631814 (or 1631806 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 3422544305440 its reverse (445034452243), we get a palindrome (3867578757683).

The spelling of 3422544305440 in words is "three trillion, four hundred twenty-two billion, five hundred forty-four million, three hundred five thousand, four hundred forty".