3006018880 has 224 divisors, whose sum is σ = 8075980800. Its totient is φ = 1059028992.

The previous prime is 3006018797. The next prime is 3006018889. The reversal of 3006018880 is 888106003.

It is a super-2 number, since 2×3006018880² = 18072299013832908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006018889) 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 31 ways as a sum of consecutive naturals, for example, 13126606 + ... + 13126834.

Almost surely, 2^3006018880 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 3006018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037990400).

3006018880 is an abundant number, since it is smaller than the sum of its proper divisors (5069961920).

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

3006018880 is a wasteful number, since it uses less digits than its factorization.

3006018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 3006018880 is about 54827.1728251603. The cubic root of 3006018880 is about 1443.2134512179.

The spelling of 3006018880 in words is "three billion, six million, eighteen thousand, eight hundred eighty".