3644120 has 64 divisors (see below), whose sum is σ = 9097920. Its totient is φ = 1306624.

The previous prime is 3644117. The next prime is 3644129. The reversal of 3644120 is 214463.

It is a happy number.

It is a super-2 number, since 2×3644120² = 26559221148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3644092 and 3644101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644129) 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, 15524 + ... + 15756.

It is an arithmetic number, because the mean of its divisors is an integer number (142155).

Almost surely, 2^3644120 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 3644120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548960).

3644120 is an abundant number, since it is smaller than the sum of its proper divisors (5453800).

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

3644120 is a wasteful number, since it uses less digits than its factorization.

3644120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3644120 is about 1908.9578308596. The cubic root of 3644120 is about 153.8854491931.

Adding to 3644120 its reverse (214463), we get a palindrome (3858583).

The spelling of 3644120 in words is "three million, six hundred forty-four thousand, one hundred twenty".