3643480 has 32 divisors (see below), whose sum is σ = 8308800. Its totient is φ = 1437696.

The previous prime is 3643477. The next prime is 3643481. The reversal of 3643480 is 843463.

3643480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2584 + ... + 3736.

It is an arithmetic number, because the mean of its divisors is an integer number (259650).

Almost surely, 2^3643480 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 3643480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154400).

3643480 is an abundant number, since it is smaller than the sum of its proper divisors (4665320).

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

3643480 is a wasteful number, since it uses less digits than its factorization.

3643480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3643480 is about 1908.7901927661. The cubic root of 3643480 is about 153.8764399349.

It can be divided in two parts, 364 and 3480, that added together give a square (3844 = 62²).

The spelling of 3643480 in words is "three million, six hundred forty-three thousand, four hundred eighty".