3656016 has 200 divisors, whose sum is σ = 13443584. Its totient is φ = 933120.

The previous prime is 3655987. The next prime is 3656017. The reversal of 3656016 is 6106563.

3656016 is a `hidden beast` number, since 3 + 656 + 0 + 1 + 6 = 666.

3656016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656017) 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 39 ways as a sum of consecutive naturals, for example, 117921 + ... + 117951.

Almost surely, 2^3656016 is an apocalyptic number.

3656016 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 3656016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721792).

3656016 is an abundant number, since it is smaller than the sum of its proper divisors (9787568).

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

3656016 is a wasteful number, since it uses less digits than its factorization.

3656016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3656016 is about 1912.0711283841. The cubic root of 3656016 is about 154.0527170955.

The spelling of 3656016 in words is "three million, six hundred fifty-six thousand, sixteen".