3189384806399 has 48 divisors (see below), whose sum is σ = 3570650463744. Its totient is φ = 2846293369920.

The previous prime is 3189384806359. The next prime is 3189384806537. The reversal of 3189384806399 is 9936084839813.

It is a de Polignac number, because none of the positive numbers 2^k-3189384806399 is a prime.

It is a super-2 number, since 2×3189384806399² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3189384806359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952906844 + ... + 952910190.

It is an arithmetic number, because the mean of its divisors is an integer number (74388551328).

Almost surely, 2^{3189384806399} is an apocalyptic number.

3189384806399 is a deficient number, since it is larger than the sum of its proper divisors (381265657345).

3189384806399 is a wasteful number, since it uses less digits than its factorization.

3189384806399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 71.

The spelling of 3189384806399 in words is "three trillion, one hundred eighty-nine billion, three hundred eighty-four million, eight hundred six thousand, three hundred ninety-nine".