3966314688 has 280 divisors, whose sum is σ = 13904061600. Its totient is φ = 1093865472.

The previous prime is 3966314683. The next prime is 3966314713. The reversal of 3966314688 is 8864136693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3966314683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1050468 + ... + 1054236.

Almost surely, 2^3966314688 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 3966314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952030800).

3966314688 is an abundant number, since it is smaller than the sum of its proper divisors (9937746912).

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

3966314688 is a wasteful number, since it uses less digits than its factorization.

3966314688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3810 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3966314688 is about 62978.6843940075. The cubic root of 3966314688 is about 1582.9324763051.

The spelling of 3966314688 in words is "three billion, nine hundred sixty-six million, three hundred fourteen thousand, six hundred eighty-eight".