3634560 has 96 divisors (see below), whose sum is σ = 12570480. Its totient is φ = 967680.

The previous prime is 3634559. The next prime is 3634571. The reversal of 3634560 is 654363.

3634560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5445 + ... + 6075.

Almost surely, 2^3634560 is an apocalyptic number.

3634560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285240).

3634560 is an abundant number, since it is smaller than the sum of its proper divisors (8935920).

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

3634560 is a wasteful number, since it uses less digits than its factorization.

3634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3634560 is about 1906.4522023906. The cubic root of 3634560 is about 153.7507634307.

It can be divided in two parts, 36 and 34560, that added together give a square (34596 = 186²).

The spelling of 3634560 in words is "three million, six hundred thirty-four thousand, five hundred sixty".