3006067680 has 576 divisors, whose sum is σ = 13361967360. Its totient is φ = 624153600.

The previous prime is 3006067637. The next prime is 3006067681. The reversal of 3006067680 is 867606003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006067681) 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 95 ways as a sum of consecutive naturals, for example, 2327835 + ... + 2329125.

It is an arithmetic number, because the mean of its divisors is an integer number (23197860).

Almost surely, 2^3006067680 is an apocalyptic number.

3006067680 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 3006067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680983680).

3006067680 is an abundant number, since it is smaller than the sum of its proper divisors (10355899680).

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

3006067680 is a wasteful number, since it uses less digits than its factorization.

3006067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3006067680 is about 54827.6178581561. The cubic root of 3006067680 is about 1443.2212609310.

The spelling of 3006067680 in words is "three billion, six million, sixty-seven thousand, six hundred eighty".