3005280 has 72 divisors (see below), whose sum is σ = 10260432. Its totient is φ = 801024.

The previous prime is 3005279. The next prime is 3005281. The reversal of 3005280 is 825003.

It is an interprime number because it is at equal distance from previous prime (3005279) and next prime (3005281).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005281) 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, 397 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (142506).

Almost surely, 2^3005280 is an apocalyptic number.

3005280 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 3005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130216).

3005280 is an abundant number, since it is smaller than the sum of its proper divisors (7255152).

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

3005280 is a wasteful number, since it uses less digits than its factorization.

3005280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3005280 is about 1733.5743422190. The cubic root of 3005280 is about 144.3095194150.

The spelling of 3005280 in words is "three million, five thousand, two hundred eighty".