3964788641 has 16 divisors (see below), whose sum is σ = 4430437440. Its totient is φ = 3516851520.

The previous prime is 3964788589. The next prime is 3964788661. The reversal of 3964788641 is 1468874693.

It is a cyclic number.

It is not a de Polignac number, because 3964788641 - 2¹⁴ = 3964772257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3964788661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513155 + ... + 520823.

It is an arithmetic number, because the mean of its divisors is an integer number (276902340).

Almost surely, 2^3964788641 is an apocalyptic number.

It is an amenable number.

3964788641 is a deficient number, since it is larger than the sum of its proper divisors (465648799).

3964788641 is a wasteful number, since it uses less digits than its factorization.

3964788641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816.

The product of its digits is 6967296, while the sum is 56.

The square root of 3964788641 is about 62966.5676450607. The cubic root of 3964788641 is about 1582.7294381855.

The spelling of 3964788641 in words is "three billion, nine hundred sixty-four million, seven hundred eighty-eight thousand, six hundred forty-one".