3644080 has 80 divisors (see below), whose sum is σ = 9561888. Its totient is φ = 1280000.

The previous prime is 3644071. The next prime is 3644117. The reversal of 3644080 is 804463.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36030 + ... + 36130.

Almost surely, 2^3644080 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 3644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944).

3644080 is an abundant number, since it is smaller than the sum of its proper divisors (5917808).

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

3644080 is a wasteful number, since it uses less digits than its factorization.

3644080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3644080 is about 1908.9473539100. The cubic root of 3644080 is about 153.8848861454.

It can be divided in two parts, 364 and 4080, that added together give a palindrome (4444).

The spelling of 3644080 in words is "three million, six hundred forty-four thousand, eighty".