3005288 has 64 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1209600.

The previous prime is 3005281. The next prime is 3005291. The reversal of 3005288 is 8825003.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3005281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42293 + ... + 42363.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^3005288 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 3005288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

3005288 is an abundant number, since it is smaller than the sum of its proper divisors (3889432).

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

3005288 is a wasteful number, since it uses less digits than its factorization.

3005288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 3005288 is about 1733.5766495889. The cubic root of 3005288 is about 144.3096474646.

The spelling of 3005288 in words is "three million, five thousand, two hundred eighty-eight".