3966331635812 has 192 divisors, whose sum is σ = 9281112422400. Its totient is φ = 1468618905600.

The previous prime is 3966331635809. The next prime is 3966331635817. The reversal of 3966331635812 is 2185361336693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3966331635817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54845237 + ... + 54917507.

It is an arithmetic number, because the mean of its divisors is an integer number (48339127200).

Almost surely, 2^{3966331635812} 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 3966331635812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640556211200).

3966331635812 is an abundant number, since it is smaller than the sum of its proper divisors (5314780786588).

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

3966331635812 is a wasteful number, since it uses less digits than its factorization.

3966331635812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72507 (or 72491 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 56.

The spelling of 3966331635812 in words is "three trillion, nine hundred sixty-six billion, three hundred thirty-one million, six hundred thirty-five thousand, eight hundred twelve".