3516865668 has 96 divisors (see below), whose sum is σ = 9333878400. Its totient is φ = 1144720512.

The previous prime is 3516865643. The next prime is 3516865679. The reversal of 3516865668 is 8665686153.

3516865668 is a `hidden beast` number, since 3 + 516 + 8 + 65 + 6 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309455 + ... + 1312137.

It is an arithmetic number, because the mean of its divisors is an integer number (97227900).

Almost surely, 2^3516865668 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 3516865668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666939200).

3516865668 is an abundant number, since it is smaller than the sum of its proper divisors (5817012732).

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

3516865668 is a wasteful number, since it uses less digits than its factorization.

3516865668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2970 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 3516865668 is about 59303.1674364869. The cubic root of 3516865668 is about 1520.7293458479.

The spelling of 3516865668 in words is "three billion, five hundred sixteen million, eight hundred sixty-five thousand, six hundred sixty-eight".