3005888 has 28 divisors (see below), whose sum is σ = 6062472. Its totient is φ = 1478400.

The previous prime is 3005881. The next prime is 3005909. The reversal of 3005888 is 8885003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3938 + ... + 4638.

Almost surely, 2^3005888 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 3005888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031236).

3005888 is an abundant number, since it is smaller than the sum of its proper divisors (3056584).

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

3005888 is an equidigital number, since it uses as much as digits as its factorization.

3005888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 3005888 is about 1733.7496935832. The cubic root of 3005888 is about 144.3192505406.

The spelling of 3005888 in words is "three million, five thousand, eight hundred eighty-eight".