3145664064 has 56 divisors (see below), whose sum is σ = 8339836000. Its totient is φ = 1046421504.

The previous prime is 3145664063. The next prime is 3145664087. The reversal of 3145664064 is 4604665413.

3145664064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3145664063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79392 + ... + 112224.

Almost surely, 2^3145664064 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 3145664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169918000).

3145664064 is an abundant number, since it is smaller than the sum of its proper divisors (5194171936).

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

3145664064 is a wasteful number, since it uses less digits than its factorization.

3145664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33347 (or 33337 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3145664064 is about 56086.2199118464. The cubic root of 3145664064 is about 1465.2243035822.

The spelling of 3145664064 in words is "three billion, one hundred forty-five million, six hundred sixty-four thousand, sixty-four".