3006984960 has 432 divisors, whose sum is σ = 12148718400. Its totient is φ = 686407680.

The previous prime is 3006984947. The next prime is 3006984961. The reversal of 3006984960 is 694896003.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3006984961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3950980 + ... + 3951740.

Almost surely, 2^3006984960 is an apocalyptic number.

3006984960 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 3006984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074359200).

3006984960 is an abundant number, since it is smaller than the sum of its proper divisors (9141733440).

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

3006984960 is an equidigital number, since it uses as much as digits as its factorization.

3006984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3006984960 is about 54835.9823473602. The cubic root of 3006984960 is about 1443.3680422090.

The spelling of 3006984960 in words is "three billion, six million, nine hundred eighty-four thousand, nine hundred sixty".