3006336960000 has 900 divisors, whose sum is σ = 11918779828956. Its totient is φ = 728724480000.

The previous prime is 3006336959963. The next prime is 3006336960017. The reversal of 3006336960000 is 696336003.

3006336960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 348475687 + ... + 348484313.

Almost surely, 2^{3006336960000} is an apocalyptic number.

3006336960000 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 3006336960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959389914478).

3006336960000 is an abundant number, since it is smaller than the sum of its proper divisors (8912442868956).

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

3006336960000 is an equidigital number, since it uses as much as digits as its factorization.

3006336960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

It can be divided in two parts, 3006336 and 960000, that added together give a triangular number (3966336 = T₂₈₁₆).

The spelling of 3006336960000 in words is "three trillion, six billion, three hundred thirty-six million, nine hundred sixty thousand".