3563441856 has 448 divisors, whose sum is σ = 11936211840. Its totient is φ = 1035141120.

The previous prime is 3563441851. The next prime is 3563441867. The reversal of 3563441856 is 6581443653.

3563441856 is a `hidden beast` number, since 3 + 5 + 634 + 4 + 1 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×3563441856² = 25396235722185449472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3563441851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48814236 + ... + 48814308.

It is an arithmetic number, because the mean of its divisors is an integer number (26643330).

Almost surely, 2^3563441856 is an apocalyptic number.

3563441856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3563441856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968105920).

3563441856 is an abundant number, since it is smaller than the sum of its proper divisors (8372769984).

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

3563441856 is a wasteful number, since it uses less digits than its factorization.

3563441856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3563441856 is about 59694.5714114776. The cubic root of 3563441856 is about 1527.4132685140.

The spelling of 3563441856 in words is "three billion, five hundred sixty-three million, four hundred forty-one thousand, eight hundred fifty-six".