3809246688 has 144 divisors (see below), whose sum is σ = 11696420736. Its totient is φ = 1169003520.

The previous prime is 3809246669. The next prime is 3809246699. The reversal of 3809246688 is 8866429083.

3809246688 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724881 + ... + 1727087.

It is an arithmetic number, because the mean of its divisors is an integer number (81225144).

Almost surely, 2^3809246688 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 3809246688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848210368).

3809246688 is an abundant number, since it is smaller than the sum of its proper divisors (7887174048).

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

3809246688 is a wasteful number, since it uses less digits than its factorization.

3809246688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 3809246688 is about 61719.0950030864. The cubic root of 3809246688 is about 1561.7554597469.

The spelling of 3809246688 in words is "three billion, eight hundred nine million, two hundred forty-six thousand, six hundred eighty-eight".