3005723664 has 60 divisors (see below), whose sum is σ = 8506403100. Its totient is φ = 990646272.

The previous prime is 3005723627. The next prime is 3005723687. The reversal of 3005723664 is 4663275003.

It can be written as a sum of positive squares in 2 ways, for example, as 484880400 + 2520843264 = 22020^2 + 50208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104449 + ... + 130080.

It is an arithmetic number, because the mean of its divisors is an integer number (141773385).

Almost surely, 2^3005723664 is an apocalyptic number.

It is an amenable number.

3005723664 is an abundant number, since it is smaller than the sum of its proper divisors (5500679436).

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

3005723664 is a wasteful number, since it uses less digits than its factorization.

3005723664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234632 (or 234623 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3005723664 is about 54824.4805173747. The cubic root of 3005723664 is about 1443.1662044919.

Adding to 3005723664 its reverse (4663275003), we get a palindrome (7668998667).

The spelling of 3005723664 in words is "three billion, five million, seven hundred twenty-three thousand, six hundred sixty-four".