3124785664 has 360 divisors, whose sum is σ = 8707465008. Its totient is φ = 1107025920.

The previous prime is 3124785649. The next prime is 3124785673. The reversal of 3124785664 is 4665874213.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46638559 + ... + 46638625.

Almost surely, 2^3124785664 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 3124785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353732504).

3124785664 is an abundant number, since it is smaller than the sum of its proper divisors (5582679344).

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

3124785664 is a wasteful number, since it uses less digits than its factorization.

3124785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 3124785664 is about 55899.7823251576. The cubic root of 3124785664 is about 1461.9754431547.

The spelling of 3124785664 in words is "three billion, one hundred twenty-four million, seven hundred eighty-five thousand, six hundred sixty-four".