3005880 has 64 divisors (see below), whose sum is σ = 9275040. Its totient is φ = 778752.

The previous prime is 3005851. The next prime is 3005881. The reversal of 3005880 is 885003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3005880.

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 15 ways as a sum of consecutive naturals, for example, 4102 + ... + 4778.

Almost surely, 2^3005880 is an apocalyptic number.

3005880 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 3005880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637520).

3005880 is an abundant number, since it is smaller than the sum of its proper divisors (6269160).

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

3005880 is a wasteful number, since it uses less digits than its factorization.

3005880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 3005880 is about 1733.7473864436. The cubic root of 3005880 is about 144.3191225080.

The spelling of 3005880 in words is "three million, five thousand, eight hundred eighty".