3002784 has 48 divisors (see below), whose sum is σ = 8144640. Its totient is φ = 967680.

The previous prime is 3002773. The next prime is 3002789. The reversal of 3002784 is 4872003.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3002784³ = 81225713332445478912, which contains 333 as substring.

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 (3002789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2472 + ... + 3480.

It is an arithmetic number, because the mean of its divisors is an integer number (169680).

Almost surely, 2^3002784 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 3002784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072320).

3002784 is an abundant number, since it is smaller than the sum of its proper divisors (5141856).

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

3002784 is a wasteful number, since it uses less digits than its factorization.

3002784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3002784 is about 1732.8542927782. The cubic root of 3002784 is about 144.2695568241.

Adding to 3002784 its reverse (4872003), we get a palindrome (7874787).

The spelling of 3002784 in words is "three million, two thousand, seven hundred eighty-four".