3440411076648 has 1152 divisors, whose sum is σ = 11963939760000. Its totient is φ = 818313560064.

The previous prime is 3440411076593. The next prime is 3440411076679. The reversal of 3440411076648 is 8466701140443.

It is a junction number, because it is equal to n+sod(n) for n = 3440411076597 and 3440411076606.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9746206840 + ... + 9746207192.

It is an arithmetic number, because the mean of its divisors is an integer number (10385364375).

Almost surely, 2^{3440411076648} is an apocalyptic number.

3440411076648 is a gapful number since it is divisible by the number (38) 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 3440411076648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981969880000).

3440411076648 is an abundant number, since it is smaller than the sum of its proper divisors (8523528683352).

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

3440411076648 is a wasteful number, since it uses less digits than its factorization.

3440411076648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 3440411076648 in words is "three trillion, four hundred forty billion, four hundred eleven million, seventy-six thousand, six hundred forty-eight".