3536064 has 84 divisors (see below), whose sum is σ = 11596624. Its totient is φ = 1009152.

The previous prime is 3536041. The next prime is 3536081. The reversal of 3536064 is 4606353.

3536064 is a `hidden beast` number, since 3 + 53 + 606 + 4 = 666.

3536064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×3536064² = 25007497224192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3594 + ... + 4470.

Almost surely, 2^3536064 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 3536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798312).

3536064 is an abundant number, since it is smaller than the sum of its proper divisors (8060560).

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

3536064 is a wasteful number, since it uses less digits than its factorization.

3536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3536064 is about 1880.4425011151. The cubic root of 3536064 is about 152.3491512010.

The spelling of 3536064 in words is "three million, five hundred thirty-six thousand, sixty-four".