3603648 has 42 divisors (see below), whose sum is σ = 9604756. Its totient is φ = 1192448.

The previous prime is 3603623. The next prime is 3603659. The reversal of 3603648 is 8463063.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26236 + ... + 26372.

Almost surely, 2^3603648 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 3603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802378).

3603648 is an abundant number, since it is smaller than the sum of its proper divisors (6001108).

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

3603648 is an equidigital number, since it uses as much as digits as its factorization.

3603648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3603648 is about 1898.3276850955. The cubic root of 3603648 is about 153.3136374617.

Adding to 3603648 its product of nonzero digits (10368), we get a triangular number (3614016 = T₂₆₈₈).

The spelling of 3603648 in words is "three million, six hundred three thousand, six hundred forty-eight".