3194097905664 has 208 divisors, whose sum is σ = 9500621639040. Its totient is φ = 1060448256000.

The previous prime is 3194097905627. The next prime is 3194097905749. The reversal of 3194097905664 is 4665097904913.

3194097905664 is a `hidden beast` number, since 31 + 9 + 409 + 7 + 90 + 56 + 64 = 666.

It is a super-2 number, since 2×3194097905664² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27701059 + ... + 27816125.

Almost surely, 2^{3194097905664} 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 3194097905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750310819520).

3194097905664 is an abundant number, since it is smaller than the sum of its proper divisors (6306523733376).

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

3194097905664 is a wasteful number, since it uses less digits than its factorization.

3194097905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115351 (or 115323 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 3194097905664 in words is "three trillion, one hundred ninety-four billion, ninety-seven million, nine hundred five thousand, six hundred sixty-four".