3006921312000 has 1152 divisors, whose sum is σ = 11482165094400. Its totient is φ = 774531072000.

The previous prime is 3006921311971. The next prime is 3006921312007. The reversal of 3006921312000 is 2131296003.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006921312007) 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 127 ways as a sum of consecutive naturals, for example, 3109535517 + ... + 3109536483.

It is an arithmetic number, because the mean of its divisors is an integer number (9967157200).

Almost surely, 2^{3006921312000} is an apocalyptic number.

3006921312000 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 3006921312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741082547200).

3006921312000 is an abundant number, since it is smaller than the sum of its proper divisors (8475243782400).

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

3006921312000 is an equidigital number, since it uses as much as digits as its factorization.

3006921312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 3006921312000 in words is "three trillion, six billion, nine hundred twenty-one million, three hundred twelve thousand".