3006274191360 has 960 divisors, whose sum is σ = 11170265057280. Its totient is φ = 682733076480.

The previous prime is 3006274191353. The next prime is 3006274191367. The reversal of 3006274191360 is 631914726003.

3006274191360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3006274191353) and next prime (3006274191367).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006274191367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5495930607 + ... + 5495931153.

It is an arithmetic number, because the mean of its divisors is an integer number (11635692768).

Almost surely, 2^{3006274191360} is an apocalyptic number.

3006274191360 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 3006274191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585132528640).

3006274191360 is an abundant number, since it is smaller than the sum of its proper divisors (8163990865920).

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

3006274191360 is a wasteful number, since it uses less digits than its factorization.

3006274191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 3006274191360 in words is "three trillion, six billion, two hundred seventy-four million, one hundred ninety-one thousand, three hundred sixty".