3145925664 has 144 divisors (see below), whose sum is σ = 10417522752. Its totient is φ = 881846784.

The previous prime is 3145925659. The next prime is 3145925711. The reversal of 3145925664 is 4665295413.

3145925664 is a `hidden beast` number, since 3 + 1 + 4 + 592 + 56 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92127 + ... + 121569.

It is an arithmetic number, because the mean of its divisors is an integer number (72343908).

Almost surely, 2^3145925664 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 3145925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208761376).

3145925664 is an abundant number, since it is smaller than the sum of its proper divisors (7271597088).

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

3145925664 is a wasteful number, since it uses less digits than its factorization.

3145925664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29519 (or 29508 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3145925664 is about 56088.5519870142. The cubic root of 3145925664 is about 1465.2649194951.

The spelling of 3145925664 in words is "three billion, one hundred forty-five million, nine hundred twenty-five thousand, six hundred sixty-four".