3002688 has 84 divisors (see below), whose sum is σ = 9291828. Its totient is φ = 921600.

The previous prime is 3002683. The next prime is 3002723. The reversal of 3002688 is 8862003.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 1065024 = 1392^2 + 1032^2 .

It is a super-2 number, since 2×3002688² = 18032270450688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7288 + ... + 7688.

It is an arithmetic number, because the mean of its divisors is an integer number (110617).

Almost surely, 2^3002688 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 3002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645914).

3002688 is an abundant number, since it is smaller than the sum of its proper divisors (6289140).

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

3002688 is a wasteful number, since it uses less digits than its factorization.

3002688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3002688 is about 1732.8265925937. The cubic root of 3002688 is about 144.2680193592.

The spelling of 3002688 in words is "three million, two thousand, six hundred eighty-eight".