3394376872866 has 512 divisors, whose sum is σ = 9172212940800. Its totient is φ = 910538496000.

The previous prime is 3394376872853. The next prime is 3394376872921. The reversal of 3394376872866 is 6682786734933.

3394376872866 is a `hidden beast` number, since 3 + 3 + 9 + 437 + 68 + 72 + 8 + 66 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3394376872794 and 3394376872803.

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 255 ways as a sum of consecutive naturals, for example, 14202413575 + ... + 14202413813.

It is an arithmetic number, because the mean of its divisors is an integer number (17914478400).

Almost surely, 2^{3394376872866} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394376872866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586106470400).

3394376872866 is an abundant number, since it is smaller than the sum of its proper divisors (5777836067934).

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

3394376872866 is a wasteful number, since it uses less digits than its factorization.

3394376872866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 3394376872866 in words is "three trillion, three hundred ninety-four billion, three hundred seventy-six million, eight hundred seventy-two thousand, eight hundred sixty-six".