3006675880 has 64 divisors (see below), whose sum is σ = 7302556800. Its totient is φ = 1107544320.

The previous prime is 3006675871. The next prime is 3006675887. The reversal of 3006675880 is 885766003.

It is not an unprimeable number, because it can be changed into a prime (3006675887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 221695 + ... + 234865.

It is an arithmetic number, because the mean of its divisors is an integer number (114102450).

Almost surely, 2^3006675880 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 3006675880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651278400).

3006675880 is an abundant number, since it is smaller than the sum of its proper divisors (4295880920).

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

3006675880 is a wasteful number, since it uses less digits than its factorization.

3006675880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634 (or 13630 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 3006675880 is about 54833.1640524236. The cubic root of 3006675880 is about 1443.3185871917.

The spelling of 3006675880 in words is "three billion, six million, six hundred seventy-five thousand, eight hundred eighty".