3645264 has 80 divisors (see below), whose sum is σ = 11348480. Its totient is φ = 984960.

The previous prime is 3645263. The next prime is 3645289. The reversal of 3645264 is 4625463.

It is a d-powerful number, because it can be written as 3 + 6³ + 4² + 5⁹ + 2¹³ + 6⁸ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6099 + ... + 6669.

It is an arithmetic number, because the mean of its divisors is an integer number (141856).

Almost surely, 2^3645264 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 3645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674240).

3645264 is an abundant number, since it is smaller than the sum of its proper divisors (7703216).

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

3645264 is a wasteful number, since it uses less digits than its factorization.

3645264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 3645264 is about 1909.2574472815. The cubic root of 3645264 is about 153.9015506145.

The spelling of 3645264 in words is "three million, six hundred forty-five thousand, two hundred sixty-four".