3966329856 has 132 divisors (see below), whose sum is σ = 10757427152. Its totient is φ = 1299234816.

The previous prime is 3966329827. The next prime is 3966329863. The reversal of 3966329856 is 6589236693.

It is a junction number, because it is equal to n+sod(n) for n = 3966329796 and 3966329805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24333231 + ... + 24333393.

Almost surely, 2^3966329856 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 3966329856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378713576).

3966329856 is an abundant number, since it is smaller than the sum of its proper divisors (6791097296).

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

3966329856 is an equidigital number, since it uses as much as digits as its factorization.

3966329856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 257 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 57.

The square root of 3966329856 is about 62978.8048155886. The cubic root of 3966329856 is about 1582.9344941219.

The spelling of 3966329856 in words is "three billion, nine hundred sixty-six million, three hundred twenty-nine thousand, eight hundred fifty-six".