3563060640 has 384 divisors, whose sum is σ = 12541132800. Its totient is φ = 846827520.

The previous prime is 3563060639. The next prime is 3563060659. The reversal of 3563060640 is 460603653.

It is a happy number.

It is a super-2 number, since 2×3563060640² = 25390802248634419200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9924781 + ... + 9925139.

It is an arithmetic number, because the mean of its divisors is an integer number (32659200).

Almost surely, 2^3563060640 is an apocalyptic number.

3563060640 is a gapful number since it is divisible by the number (30) 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 3563060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270566400).

3563060640 is an abundant number, since it is smaller than the sum of its proper divisors (8978072160).

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

3563060640 is a wasteful number, since it uses less digits than its factorization.

3563060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 3563060640 is about 59691.3782719079. The cubic root of 3563060640 is about 1527.3587991587.

The spelling of 3563060640 in words is "three billion, five hundred sixty-three million, sixty thousand, six hundred forty".