3440798936960 has 256 divisors, whose sum is σ = 10259399969280. Its totient is φ = 1072035225600.

The previous prime is 3440798936909. The next prime is 3440798936999. The reversal of 3440798936960 is 696398970443.

It is a happy number.

It is a congruent number.

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, 139795055 + ... + 139819665.

It is an arithmetic number, because the mean of its divisors is an integer number (40075781130).

Almost surely, 2^{3440798936960} 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 3440798936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129699984640).

3440798936960 is an abundant number, since it is smaller than the sum of its proper divisors (6818601032320).

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

3440798936960 is a wasteful number, since it uses less digits than its factorization.

3440798936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27485 (or 27473 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 68.

The spelling of 3440798936960 in words is "three trillion, four hundred forty billion, seven hundred ninety-eight million, nine hundred thirty-six thousand, nine hundred sixty".