3566007040 has 144 divisors (see below), whose sum is σ = 9357677280. Its totient is φ = 1295974400.

The previous prime is 3566007031. The next prime is 3566007041. The reversal of 3566007040 is 407006653.

It is a junction number, because it is equal to n+sod(n) for n = 3566006993 and 3566007011.

It is not an unprimeable number, because it can be changed into a prime (3566007041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628215 + ... + 633865.

It is an arithmetic number, because the mean of its divisors is an integer number (64983870).

Almost surely, 2^3566007040 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 3566007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678838640).

3566007040 is an abundant number, since it is smaller than the sum of its proper divisors (5791670240).

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

3566007040 is a wasteful number, since it uses less digits than its factorization.

3566007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 3566007040 is about 59716.0534529870. The cubic root of 3566007040 is about 1527.7796891872.

The spelling of 3566007040 in words is "three billion, five hundred sixty-six million, seven thousand, forty".