3443097627648 has 264 divisors, whose sum is σ = 11728664130560. Its totient is φ = 952008007680.

The previous prime is 3443097627499. The next prime is 3443097627689. The reversal of 3443097627648 is 8467267903443.

3443097627648 is a `hidden beast` number, since 3 + 4 + 430 + 97 + 6 + 2 + 76 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139043 + ... + 2860701.

Almost surely, 2^{3443097627648} 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 3443097627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864332065280).

3443097627648 is an abundant number, since it is smaller than the sum of its proper divisors (8285566502912).

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

3443097627648 is a wasteful number, since it uses less digits than its factorization.

3443097627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721723 (or 1721702 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 3443097627648 in words is "three trillion, four hundred forty-three billion, ninety-seven million, six hundred twenty-seven thousand, six hundred forty-eight".