3027240216000 has 3360 divisors, whose sum is σ = 15161372328960. Its totient is φ = 579032064000.

The previous prime is 3027240215971. The next prime is 3027240216019. The reversal of 3027240216000 is 6120427203.

3027240216000 is a `hidden beast` number, since 30 + 2 + 7 + 2 + 4 + 0 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8432423821 + ... + 8432424179.

Almost surely, 2^{3027240216000} is an apocalyptic number.

3027240216000 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 3027240216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580686164480).

3027240216000 is an abundant number, since it is smaller than the sum of its proper divisors (12134132112960).

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

3027240216000 is a wasteful number, since it uses less digits than its factorization.

3027240216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 3027240216000 in words is "three trillion, twenty-seven billion, two hundred forty million, two hundred sixteen thousand".