3006285442560 has 640 divisors, whose sum is σ = 11502498078720. Its totient is φ = 742072320000.

The previous prime is 3006285442553. The next prime is 3006285442687. The reversal of 3006285442560 is 652445826003.

3006285442560 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 2 + 85 + 4 + 4 + 2 + 560 = 666.

3006285442560 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 (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49252060 + ... + 49313060.

It is an arithmetic number, because the mean of its divisors is an integer number (17972653248).

Almost surely, 2^{3006285442560} is an apocalyptic number.

3006285442560 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 3006285442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751249039360).

3006285442560 is an abundant number, since it is smaller than the sum of its proper divisors (8496212636160).

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

3006285442560 is a wasteful number, since it uses less digits than its factorization.

3006285442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61087 (or 61065 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3006285442560 in words is "three trillion, six billion, two hundred eighty-five million, four hundred forty-two thousand, five hundred sixty".