3563280864 has 288 divisors, whose sum is σ = 12293019648. Its totient is φ = 964224000.

The previous prime is 3563280839. The next prime is 3563280923. The reversal of 3563280864 is 4680823653.

It is a happy number.

3563280864 is a `hidden beast` number, since 3 + 5 + 632 + 8 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275309 + ... + 1278099.

It is an arithmetic number, because the mean of its divisors is an integer number (42684096).

Almost surely, 2^3563280864 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 3563280864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146509824).

3563280864 is an abundant number, since it is smaller than the sum of its proper divisors (8729738784).

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

3563280864 is a wasteful number, since it uses less digits than its factorization.

3563280864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3563280864 is about 59693.2229319208. Note that the first 3 decimals coincide. The cubic root of 3563280864 is about 1527.3902659386.

The spelling of 3563280864 in words is "three billion, five hundred sixty-three million, two hundred eighty thousand, eight hundred sixty-four".