3005856 has 144 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 846720.

The previous prime is 3005851. The next prime is 3005881. The reversal of 3005856 is 6585003.

It is a tau number, because it is divible by the number of its divisors (144).

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 (3005851) 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, 42301 + ... + 42371.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 2^3005856 is an apocalyptic number.

3005856 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 3005856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3005856 is an abundant number, since it is smaller than the sum of its proper divisors (7336224).

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

3005856 is a wasteful number, since it uses less digits than its factorization.

3005856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3005856 is about 1733.7404650062. The cubic root of 3005856 is about 144.3187384088.

The spelling of 3005856 in words is "three million, five thousand, eight hundred fifty-six".