3966595936848 has 200 divisors, whose sum is σ = 11857274576928. Its totient is φ = 1279378291968.

The previous prime is 3966595936847. The next prime is 3966595936987. The reversal of 3966595936848 is 8486395956693.

It is a happy number.

3966595936848 is a `hidden beast` number, since 396 + 65 + 9 + 5 + 93 + 6 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966595936847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5630290 + ... + 6295502.

Almost surely, 2^{3966595936848} 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 3966595936848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928637288464).

3966595936848 is an abundant number, since it is smaller than the sum of its proper divisors (7890678640080).

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

3966595936848 is a wasteful number, since it uses less digits than its factorization.

3966595936848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665383 (or 665368 counting only the distinct ones).

The product of its digits is 9069926400, while the sum is 81.

The spelling of 3966595936848 in words is "three trillion, nine hundred sixty-six billion, five hundred ninety-five million, nine hundred thirty-six thousand, eight hundred forty-eight".