3966101776 has 160 divisors (see below), whose sum is σ = 9716878080. Its totient is φ = 1526611968.

The previous prime is 3966101773. The next prime is 3966101779. The reversal of 3966101776 is 6771016693.

It is an interprime number because it is at equal distance from previous prime (3966101773) and next prime (3966101779).

It is not an unprimeable number, because it can be changed into a prime (3966101773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11768680 + ... + 11769016.

It is an arithmetic number, because the mean of its divisors is an integer number (60730488).

Almost surely, 2^3966101776 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 3966101776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858439040).

3966101776 is an abundant number, since it is smaller than the sum of its proper divisors (5750776304).

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

3966101776 is a wasteful number, since it uses less digits than its factorization.

3966101776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 3966101776 is about 62976.9940216267. The cubic root of 3966101776 is about 1582.9041518296.

The spelling of 3966101776 in words is "three billion, nine hundred sixty-six million, one hundred one thousand, seven hundred seventy-six".