3005760 has 112 divisors (see below), whose sum is σ = 9948672. Its totient is φ = 768000.

The previous prime is 3005749. The next prime is 3005771. The reversal of 3005760 is 675003.

3005760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3005749) and next prime (3005771).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29710 + ... + 29810.

Almost surely, 2^3005760 is an apocalyptic number.

3005760 is a gapful number since it is divisible by the number (30) 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 3005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974336).

3005760 is an abundant number, since it is smaller than the sum of its proper divisors (6942912).

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

3005760 is a wasteful number, since it uses less digits than its factorization.

3005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 3005760 is about 1733.7127789804. The cubic root of 3005760 is about 144.3172019916.

It can be divided in two parts, 300 and 5760, that multiplied together give a cube (1728000 = 120³).

The spelling of 3005760 in words is "three million, five thousand, seven hundred sixty".