3585752064 has 220 divisors, whose sum is σ = 11342083104. Its totient is φ = 1124499456.

The previous prime is 3585752057. The next prime is 3585752083. The reversal of 3585752064 is 4602575853.

3585752064 is a `hidden beast` number, since 3 + 58 + 575 + 20 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1408777 + ... + 1411319.

Almost surely, 2^3585752064 is an apocalyptic number.

3585752064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3585752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671041552).

3585752064 is an abundant number, since it is smaller than the sum of its proper divisors (7756331040).

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

3585752064 is a wasteful number, since it uses less digits than its factorization.

3585752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 3585752064 is about 59881.1494879649. The cubic root of 3585752064 is about 1530.5942789456.

The spelling of 3585752064 in words is "three billion, five hundred eighty-five million, seven hundred fifty-two thousand, sixty-four".