3663504 has 120 divisors (see below), whose sum is σ = 11735360. Its totient is φ = 1057536.

The previous prime is 3663503. The next prime is 3663533. The reversal of 3663504 is 4053663.

It is not an unprimeable number, because it can be changed into a prime (3663503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35517 + ... + 35619.

Almost surely, 2^3663504 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 3663504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867680).

3663504 is an abundant number, since it is smaller than the sum of its proper divisors (8071856).

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

3663504 is a wasteful number, since it uses less digits than its factorization.

3663504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

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

The square root of 3663504 is about 1914.0282129582. The cubic root of 3663504 is about 154.1578187601.

It can be divided in two parts, 36 and 63504, that multiplied together give a square (2286144 = 1512²).

The spelling of 3663504 in words is "three million, six hundred sixty-three thousand, five hundred four".