3645824 has 64 divisors (see below), whose sum is σ = 8967840. Its totient is φ = 1437696.

The previous prime is 3645823. The next prime is 3645877. The reversal of 3645824 is 4285463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3³ + 6⁸ + 4⁴ + 5⁹ + 8³ + 2¹³ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11492 + ... + 11804.

Almost surely, 2^3645824 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 3645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483920).

3645824 is an abundant number, since it is smaller than the sum of its proper divisors (5322016).

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

3645824 is a wasteful number, since it uses less digits than its factorization.

3645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 3645824 is about 1909.4040955230. The cubic root of 3645824 is about 153.9094312010.

It can be divided in two parts, 364 and 5824, that multiplied together give a square (2119936 = 1456²).

The spelling of 3645824 in words is "three million, six hundred forty-five thousand, eight hundred twenty-four".