3645300 has 72 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 936320.

The previous prime is 3645289. The next prime is 3645307. The reversal of 3645300 is 35463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8491 + ... + 8909.

It is an arithmetic number, because the mean of its divisors is an integer number (151900).

Almost surely, 2^3645300 is an apocalyptic number.

3645300 is a gapful number since it is divisible by the number (30) 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 3645300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

3645300 is an abundant number, since it is smaller than the sum of its proper divisors (7291500).

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

3645300 is a wasteful number, since it uses less digits than its factorization.

3645300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3645300 is about 1909.2668750073. The cubic root of 3645300 is about 153.9020572479.

The spelling of 3645300 in words is "three million, six hundred forty-five thousand, three hundred".