3563384128 has 56 divisors (see below), whose sum is σ = 7256458944. Its totient is φ = 1735142400.

The previous prime is 3563384039. The next prime is 3563384129. The reversal of 3563384128 is 8214833653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563384129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2326723 + ... + 2328253.

It is an arithmetic number, because the mean of its divisors is an integer number (129579624).

Almost surely, 2^3563384128 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 3563384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628229472).

3563384128 is an abundant number, since it is smaller than the sum of its proper divisors (3693074816).

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

3563384128 is a wasteful number, since it uses less digits than its factorization.

3563384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2461 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 3563384128 is about 59694.0878814644. The cubic root of 3563384128 is about 1527.4050204032.

The spelling of 3563384128 in words is "three billion, five hundred sixty-three million, three hundred eighty-four thousand, one hundred twenty-eight".