3083560704 has 288 divisors, whose sum is σ = 10541153280. Its totient is φ = 870912000.

The previous prime is 3083560699. The next prime is 3083560709. The reversal of 3083560704 is 4070653803.

It is a happy number.

3083560704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3083560699) and next prime (3083560709).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083560709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4886469 + ... + 4887099.

Almost surely, 2^3083560704 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 3083560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270576640).

3083560704 is an abundant number, since it is smaller than the sum of its proper divisors (7457592576).

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

3083560704 is a wasteful number, since it uses less digits than its factorization.

3083560704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3083560704 is about 55529.8181520523. The cubic root of 3083560704 is about 1455.5177326414.

The spelling of 3083560704 in words is "three billion, eighty-three million, five hundred sixty thousand, seven hundred four".