3194960977728 has 560 divisors, whose sum is σ = 10456713645840. Its totient is φ = 958572527616.

The previous prime is 3194960977679. The next prime is 3194960977739. The reversal of 3194960977728 is 8277790694913.

3194960977728 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 9 + 609 + 7 + 7 + 7 + 2 + 8 = 666.

3194960977728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 504599963904 + 2690361013824 = 710352^2 + 1640232^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 437842176 + ... + 437849472.

It is an arithmetic number, because the mean of its divisors is an integer number (18672702939).

Almost surely, 2^{3194960977728} 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 3194960977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228356822920).

3194960977728 is an abundant number, since it is smaller than the sum of its proper divisors (7261752668112).

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

3194960977728 is a wasteful number, since it uses less digits than its factorization.

3194960977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 3194960977728 in words is "three trillion, one hundred ninety-four billion, nine hundred sixty million, nine hundred seventy-seven thousand, seven hundred twenty-eight".