3966909398088 has 512 divisors, whose sum is σ = 12990608547840. Its totient is φ = 980885790720.

The previous prime is 3966909398077. The next prime is 3966909398171. The reversal of 3966909398088 is 8808939096693.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 940692556 + ... + 940696772.

It is an arithmetic number, because the mean of its divisors is an integer number (25372282320).

Almost surely, 2^{3966909398088} 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 3966909398088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495304273920).

3966909398088 is an abundant number, since it is smaller than the sum of its proper divisors (9023699149752).

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

3966909398088 is a wasteful number, since it uses less digits than its factorization.

3966909398088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 1088391168, while the sum is 78.

The spelling of 3966909398088 in words is "three trillion, nine hundred sixty-six billion, nine hundred nine million, three hundred ninety-eight thousand, eighty-eight".