3008994912000 has 2304 divisors, whose sum is σ = 14301433036800. Its totient is φ = 604661760000.

The previous prime is 3008994911963. The next prime is 3008994912013. The reversal of 3008994912000 is 2194998003.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2062367271 + ... + 2062368729.

It is an arithmetic number, because the mean of its divisors is an integer number (6207219200).

Almost surely, 2^{3008994912000} is an apocalyptic number.

3008994912000 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 3008994912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150716518400).

3008994912000 is an abundant number, since it is smaller than the sum of its proper divisors (11292438124800).

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

3008994912000 is a wasteful number, since it uses less digits than its factorization.

3008994912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 3008994912000 in words is "three trillion, eight billion, nine hundred ninety-four million, nine hundred twelve thousand".