3884609664 has 288 divisors, whose sum is σ = 12569684400. Its totient is φ = 1193647104.

The previous prime is 3884609647. The next prime is 3884609693. The reversal of 3884609664 is 4669064883.

3884609664 is a `hidden beast` number, since 38 + 8 + 460 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3884609664.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5256207 + ... + 5256945.

Almost surely, 2^3884609664 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 3884609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284842200).

3884609664 is an abundant number, since it is smaller than the sum of its proper divisors (8685074736).

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

3884609664 is an equidigital number, since it uses as much as digits as its factorization.

3884609664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 3884609664 is about 62326.6368738118. The cubic root of 3884609664 is about 1571.9876463105.

The spelling of 3884609664 in words is "three billion, eight hundred eighty-four million, six hundred nine thousand, six hundred sixty-four".