3195008880960 has 448 divisors, whose sum is σ = 11573105209344. Its totient is φ = 739816243200.

The previous prime is 3195008880929. The next prime is 3195008880971. The reversal of 3195008880960 is 690888005913.

3195008880960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3195008880960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719432340 + ... + 719436780.

It is an arithmetic number, because the mean of its divisors is an integer number (25832824128).

Almost surely, 2^{3195008880960} is an apocalyptic number.

3195008880960 is a gapful number since it is divisible by the number (30) 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 3195008880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786552604672).

3195008880960 is an abundant number, since it is smaller than the sum of its proper divisors (8378096328384).

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

3195008880960 is a wasteful number, since it uses less digits than its factorization.

3195008880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 3195008880960 in words is "three trillion, one hundred ninety-five billion, eight million, eight hundred eighty thousand, nine hundred sixty".