3004586064 has 120 divisors (see below), whose sum is σ = 8724385800. Its totient is φ = 964131840.

The previous prime is 3004586017. The next prime is 3004586089. The reversal of 3004586064 is 4606854003.

3004586064 is a `hidden beast` number, since 3 + 0 + 0 + 45 + 8 + 606 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44355600 + 2960230464 = 6660^2 + 54408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1757242 + ... + 1758950.

It is an arithmetic number, because the mean of its divisors is an integer number (72703215).

Almost surely, 2^3004586064 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 3004586064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362192900).

3004586064 is an abundant number, since it is smaller than the sum of its proper divisors (5719799736).

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

3004586064 is a wasteful number, since it uses less digits than its factorization.

3004586064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3004586064 is about 54814.1046082119. The cubic root of 3004586064 is about 1442.9841126761.

The spelling of 3004586064 in words is "three billion, four million, five hundred eighty-six thousand, sixty-four".