3006720000 has 600 divisors, whose sum is σ = 11609447850. Its totient is φ = 774144000.

The previous prime is 3006719993. The next prime is 3006720001. The reversal of 3006720000 is 276003.

It can be written as a sum of positive squares in 5 ways, for example, as 43877376 + 2962842624 = 6624^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3006720001) 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 49 ways as a sum of consecutive naturals, for example, 103679986 + ... + 103680014.

Almost surely, 2^3006720000 is an apocalyptic number.

3006720000 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 3006720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804723925).

3006720000 is an abundant number, since it is smaller than the sum of its proper divisors (8602727850).

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

3006720000 is an frugal number, since it uses more digits than its factorization.

3006720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3006720000 is about 54833.5663622201. The cubic root of 3006720000 is about 1443.3256469155.

Adding to 3006720000 its reverse (276003), we get a palindrome (3006996003).

The spelling of 3006720000 in words is "three billion, six million, seven hundred twenty thousand".