3659616 has 72 divisors (see below), whose sum is σ = 10594584. Its totient is φ = 1198080.

The previous prime is 3659611. The next prime is 3659627. The reversal of 3659616 is 6169563.

3659616 is a `hidden beast` number, since 36 + 5 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3659611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27871 + ... + 28001.

It is an arithmetic number, because the mean of its divisors is an integer number (147147).

Almost surely, 2^3659616 is an apocalyptic number.

3659616 is a gapful number since it is divisible by the number (36) 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 3659616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297292).

3659616 is an abundant number, since it is smaller than the sum of its proper divisors (6934968).

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

3659616 is a wasteful number, since it uses less digits than its factorization.

3659616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 3659616 is about 1913.0122843307. The cubic root of 3659616 is about 154.1032646360.

The spelling of 3659616 in words is "three million, six hundred fifty-nine thousand, six hundred sixteen".