3644480 has 56 divisors (see below), whose sum is σ = 9924288. Its totient is φ = 1248768.

The previous prime is 3644479. The next prime is 3644483. The reversal of 3644480 is 844463.

3644480 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (3644483) 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, 1427 + ... + 3053.

Almost surely, 2^3644480 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 3644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962144).

3644480 is an abundant number, since it is smaller than the sum of its proper divisors (6279808).

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

3644480 is a wasteful number, since it uses less digits than its factorization.

3644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 3644480 is about 1909.0521208181. The cubic root of 3644480 is about 153.8905164373.

The spelling of 3644480 in words is "three million, six hundred forty-four thousand, four hundred eighty".