3960640000 has 100 divisors (see below), whose sum is σ = 9889564014. Its totient is φ = 1584128000.

The previous prime is 3960639979. The next prime is 3960640027. The reversal of 3960640000 is 460693.

It can be written as a sum of positive squares in 5 ways, for example, as 48888064 + 3911751936 = 6992^2 + 62544^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 313812 + ... + 326188.

Almost surely, 2^3960640000 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 3960640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944782007).

3960640000 is an abundant number, since it is smaller than the sum of its proper divisors (5928924014).

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

3960640000 is an frugal number, since it uses more digits than its factorization.

3960640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12415 (or 12384 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3960640000 is about 62933.6158185751. The cubic root of 3960640000 is about 1582.1772046462.

The spelling of 3960640000 in words is "three billion, nine hundred sixty million, six hundred forty thousand".