3966640000 has 160 divisors (see below), whose sum is σ = 9965716200. Its totient is φ = 1572096000.

The previous prime is 3966639979. The next prime is 3966640001. The reversal of 3966640000 is 466693.

3966640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966640001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14319862 + ... + 14320138.

Almost surely, 2^3966640000 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 3966640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982858100).

3966640000 is an abundant number, since it is smaller than the sum of its proper divisors (5999076200).

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

3966640000 is an equidigital number, since it uses as much as digits as its factorization.

3966640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 3966640000 is about 62981.2670561652. The cubic root of 3966640000 is about 1582.9757518134.

The spelling of 3966640000 in words is "three billion, nine hundred sixty-six million, six hundred forty thousand".