3480566544 has 640 divisors, whose sum is σ = 13199155200. Its totient is φ = 853493760.

The previous prime is 3480566539. The next prime is 3480566581. The reversal of 3480566544 is 4456650843.

3480566544 is a `hidden beast` number, since 3 + 4 + 80 + 566 + 5 + 4 + 4 = 666.

It is a super-2 number, since 2×3480566544² = 24228686934424207872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3480566544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49022029 + ... + 49022099.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^3480566544 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 3480566544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3480566544 is an abundant number, since it is smaller than the sum of its proper divisors (9718588656).

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

3480566544 is a wasteful number, since it uses less digits than its factorization.

3480566544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 3480566544 is about 58996.3265297086. The cubic root of 3480566544 is about 1515.4792014150.

The spelling of 3480566544 in words is "three billion, four hundred eighty million, five hundred sixty-six thousand, five hundred forty-four".