3061304064 has 576 divisors, whose sum is σ = 11574599680. Its totient is φ = 776355840.

The previous prime is 3061304017. The next prime is 3061304069. The reversal of 3061304064 is 4604031603.

3061304064 is a `hidden beast` number, since 3 + 0 + 613 + 0 + 40 + 6 + 4 = 666.

3061304064 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 (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3061304064 = 36³ + 1452³ = 1129³ + 1175³.

It is not an unprimeable number, because it can be changed into a prime (3061304069) 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, 19498674 + ... + 19498830.

Almost surely, 2^3061304064 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 3061304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787299840).

3061304064 is an abundant number, since it is smaller than the sum of its proper divisors (8513295616).

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

3061304064 is a wasteful number, since it uses less digits than its factorization.

3061304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3061304064 is about 55329.0526215658. The cubic root of 3061304064 is about 1452.0073765078.

Adding to 3061304064 its reverse (4604031603), we get a palindrome (7665335667).

The spelling of 3061304064 in words is "three billion, sixty-one million, three hundred four thousand, sixty-four".