3002880 has 160 divisors (see below), whose sum is σ = 10606464. Its totient is φ = 720896.

The previous prime is 3002861. The next prime is 3002891. The reversal of 3002880 is 882003.

It is a tau number, because it is divible by the number of its divisors (160).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130549 + ... + 130571.

Almost surely, 2^3002880 is an apocalyptic number.

3002880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232).

3002880 is an abundant number, since it is smaller than the sum of its proper divisors (7603584).

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

3002880 is a wasteful number, since it uses less digits than its factorization.

3002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3002880 is about 1732.8819925200. The cubic root of 3002880 is about 144.2710942562.

Adding to 3002880 its reverse (882003), we get a palindrome (3884883).

The spelling of 3002880 in words is "three million, two thousand, eight hundred eighty".