3663616 has 36 divisors (see below), whose sum is σ = 7983864. Its totient is φ = 1664000.

The previous prime is 3663587. The next prime is 3663617. The reversal of 3663616 is 6163663.

3663616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663617) 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 3 ways as a sum of consecutive naturals, for example, 2166 + ... + 3466.

It is an arithmetic number, because the mean of its divisors is an integer number (221774).

Almost surely, 2^3663616 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 3663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991932).

3663616 is an abundant number, since it is smaller than the sum of its proper divisors (4320248).

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

3663616 is a wasteful number, since it uses less digits than its factorization.

3663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its digits is 11664, while the sum is 31.

The square root of 3663616 is about 1914.0574704016. The cubic root of 3663616 is about 154.1593897060.

The spelling of 3663616 in words is "three million, six hundred sixty-three thousand, six hundred sixteen".