3005360064 has 224 divisors, whose sum is σ = 10139842560. Its totient is φ = 855069696.

The previous prime is 3005360063. The next prime is 3005360087. The reversal of 3005360064 is 4600635003.

3005360064 is a `hidden beast` number, since 3 + 0 + 0 + 53 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3005360064² = 18064378228572168192, which contains 22 as substring.

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 (3005360063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4438894 + ... + 4439570.

Almost surely, 2^3005360064 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 3005360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069921280).

3005360064 is an abundant number, since it is smaller than the sum of its proper divisors (7134482496).

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

3005360064 is a wasteful number, since it uses less digits than its factorization.

3005360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3005360064 is about 54821.1643801917. The cubic root of 3005360064 is about 1443.1080092561.

Adding to 3005360064 its reverse (4600635003), we get a palindrome (7605995067).

The spelling of 3005360064 in words is "three billion, five million, three hundred sixty thousand, sixty-four".