3005088 has 48 divisors (see below), whose sum is σ = 8237376. Its totient is φ = 957440.

The previous prime is 3005087. The next prime is 3005117. The reversal of 3005088 is 8805003.

3005088 is nontrivially palindromic in base 15.

3005088 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 Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3005083) 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, 1528 + ... + 2888.

It is an arithmetic number, because the mean of its divisors is an integer number (171612).

Almost surely, 2^3005088 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 3005088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118688).

3005088 is an abundant number, since it is smaller than the sum of its proper divisors (5232288).

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

3005088 is a wasteful number, since it uses less digits than its factorization.

3005088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 3005088 is about 1733.5189644189. The cubic root of 3005088 is about 144.3064461553.

The spelling of 3005088 in words is "three million, five thousand, eighty-eight".