3644500 has 48 divisors (see below), whose sum is σ = 8216208. Its totient is φ = 1411200.

The previous prime is 3644497. The next prime is 3644503. The reversal of 3644500 is 54463.

It is an interprime number because it is at equal distance from previous prime (3644497) and next prime (3644503).

It can be written as a sum of positive squares in 8 ways, for example, as 11664 + 3632836 = 108^2 + 1906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18402 + ... + 18598.

It is an arithmetic number, because the mean of its divisors is an integer number (171171).

Almost surely, 2^3644500 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 3644500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108104).

3644500 is an abundant number, since it is smaller than the sum of its proper divisors (4571708).

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

3644500 is a wasteful number, since it uses less digits than its factorization.

3644500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3644500 is about 1909.0573590126. The cubic root of 3644500 is about 153.8907979411.

Adding to 3644500 its reverse (54463), we get a palindrome (3698963).

The spelling of 3644500 in words is "three million, six hundred forty-four thousand, five hundred".