3195960007968 has 1152 divisors, whose sum is σ = 12689961984000. Its totient is φ = 772690544640.

The previous prime is 3195960007967. The next prime is 3195960007973. The reversal of 3195960007968 is 8697000695913.

3195960007968 is a `hidden beast` number, since 3 + 19 + 5 + 9 + 600 + 0 + 7 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3195960007963) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 324161823 + ... + 324171681.

It is an arithmetic number, because the mean of its divisors is an integer number (11015592000).

Almost surely, 2^{3195960007968} is an apocalyptic number.

3195960007968 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 3195960007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344980992000).

3195960007968 is an abundant number, since it is smaller than the sum of its proper divisors (9494001976032).

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

3195960007968 is a wasteful number, since it uses less digits than its factorization.

3195960007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 3195960007968 in words is "three trillion, one hundred ninety-five billion, nine hundred sixty million, seven thousand, nine hundred sixty-eight".