3568332768 has 384 divisors, whose sum is σ = 12778020864. Its totient is φ = 841881600.

The previous prime is 3568332737. The next prime is 3568332809. The reversal of 3568332768 is 8672338653.

3568332768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4354560) is a multiple of the sum of its prime divisors (630).

It is a self number, because there is not a number n which added to its sum of digits gives 3568332768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6822555 + ... + 6823077.

It is an arithmetic number, because the mean of its divisors is an integer number (33276096).

Almost surely, 2^3568332768 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 3568332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389010432).

3568332768 is an abundant number, since it is smaller than the sum of its proper divisors (9209688096).

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

3568332768 is a wasteful number, since it uses less digits than its factorization.

3568332768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 3568332768 is about 59735.5235015146. The cubic root of 3568332768 is about 1528.1117532000. Note that the first 3 decimals are identical.

The spelling of 3568332768 in words is "three billion, five hundred sixty-eight million, three hundred thirty-two thousand, seven hundred sixty-eight".