3064875264 has 432 divisors, whose sum is σ = 10285277184. Its totient is φ = 869068800.

The previous prime is 3064875257. The next prime is 3064875287. The reversal of 3064875264 is 4625784603.

3064875264 is a `hidden beast` number, since 306 + 4 + 87 + 5 + 264 = 666.

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 47 ways as a sum of consecutive naturals, for example, 36926167 + ... + 36926249.

It is an arithmetic number, because the mean of its divisors is an integer number (23808512).

Almost surely, 2^3064875264 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 3064875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142638592).

3064875264 is an abundant number, since it is smaller than the sum of its proper divisors (7220401920).

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

3064875264 is a wasteful number, since it uses less digits than its factorization.

3064875264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3064875264 is about 55361.3155913044. The cubic root of 3064875264 is about 1452.5717758155.

The spelling of 3064875264 in words is "three billion, sixty-four million, eight hundred seventy-five thousand, two hundred sixty-four".