3009360168256 has 224 divisors, whose sum is σ = 7009674819840. Its totient is φ = 1269144059904.

The previous prime is 3009360168251. The next prime is 3009360168259. The reversal of 3009360168256 is 6528610639003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009360168251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101553250 + ... + 101582878.

It is an arithmetic number, because the mean of its divisors is an integer number (31293191160).

Almost surely, 2^{3009360168256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009360168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504837409920).

3009360168256 is an abundant number, since it is smaller than the sum of its proper divisors (4000314651584).

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

3009360168256 is a wasteful number, since it uses less digits than its factorization.

3009360168256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29881 (or 29871 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 3009360168256 in words is "three trillion, nine billion, three hundred sixty million, one hundred sixty-eight thousand, two hundred fifty-six".