3827616 has 48 divisors (see below), whose sum is σ = 10823904. Its totient is φ = 1177344.

The previous prime is 3827611. The next prime is 3827617. The reversal of 3827616 is 6167283.

3827616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3827611) 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 7 ways as a sum of consecutive naturals, for example, 286 + ... + 2781.

It is an arithmetic number, because the mean of its divisors is an integer number (225498).

Almost surely, 2^3827616 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 3827616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411952).

3827616 is an abundant number, since it is smaller than the sum of its proper divisors (6996288).

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

3827616 is a wasteful number, since it uses less digits than its factorization.

3827616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3085 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 3827616 is about 1956.4294007196. The cubic root of 3827616 is about 156.4261850485.

The spelling of 3827616 in words is "three million, eight hundred twenty-seven thousand, six hundred sixteen".