3809189664 has 288 divisors, whose sum is σ = 12827243520. Its totient is φ = 1049573376.

The previous prime is 3809189663. The next prime is 3809189669. The reversal of 3809189664 is 4669819083.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3809189664.

It is not an unprimeable number, because it can be changed into a prime (3809189663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16633902 + ... + 16634130.

It is an arithmetic number, because the mean of its divisors is an integer number (44539040).

Almost surely, 2^3809189664 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 3809189664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413621760).

3809189664 is an abundant number, since it is smaller than the sum of its proper divisors (9018053856).

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

3809189664 is a wasteful number, since it uses less digits than its factorization.

3809189664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3809189664 is about 61718.6330373575. The cubic root of 3809189664 is about 1561.7476666061.

The spelling of 3809189664 in words is "three billion, eight hundred nine million, one hundred eighty-nine thousand, six hundred sixty-four".