3585864906 has 96 divisors (see below), whose sum is σ = 8840482560. Its totient is φ = 1042538112.

The previous prime is 3585864899. The next prime is 3585864907. The reversal of 3585864906 is 6094685853.

It is a happy number.

3585864906 is a `hidden beast` number, since 3 + 58 + 586 + 4 + 9 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3585864907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313321 + ... + 324563.

It is an arithmetic number, because the mean of its divisors is an integer number (92088360).

Almost surely, 2^3585864906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3585864906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420241280).

3585864906 is an abundant number, since it is smaller than the sum of its proper divisors (5254617654).

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

3585864906 is a wasteful number, since it uses less digits than its factorization.

3585864906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11340 (or 11337 counting only the distinct ones).

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

The square root of 3585864906 is about 59882.0916969339. The cubic root of 3585864906 is about 1530.6103344811.

The spelling of 3585864906 in words is "three billion, five hundred eighty-five million, eight hundred sixty-four thousand, nine hundred six".