3198960316656 has 640 divisors, whose sum is σ = 10312673280000. Its totient is φ = 943241739264.

The previous prime is 3198960316639. The next prime is 3198960316663. The reversal of 3198960316656 is 6566130698913.

3198960316656 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 9 + 603 + 16 + 6 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3198960316593 and 3198960316602.

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 127 ways as a sum of consecutive naturals, for example, 2286604245 + ... + 2286605643.

It is an arithmetic number, because the mean of its divisors is an integer number (16113552000).

Almost surely, 2^{3198960316656} is an apocalyptic number.

3198960316656 is a gapful number since it is divisible by the number (36) 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 3198960316656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156336640000).

3198960316656 is an abundant number, since it is smaller than the sum of its proper divisors (7113712963344).

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

3198960316656 is a wasteful number, since it uses less digits than its factorization.

3198960316656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 3198960316656 in words is "three trillion, one hundred ninety-eight billion, nine hundred sixty million, three hundred sixteen thousand, six hundred fifty-six".