3006480 has 40 divisors (see below), whose sum is σ = 9320832. Its totient is φ = 801664.

The previous prime is 3006469. The next prime is 3006511. The reversal of 3006480 is 846003.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6024 + ... + 6503.

Almost surely, 2^3006480 is an apocalyptic number.

3006480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3006480 is an abundant number, since it is smaller than the sum of its proper divisors (6314352).

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

3006480 is a wasteful number, since it uses less digits than its factorization.

3006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3006480 is about 1733.9204133985. The cubic root of 3006480 is about 144.3287243232.

It can be divided in two parts, 3006 and 480, that added together give a triangular number (3486 = T₈₃).

The spelling of 3006480 in words is "three million, six thousand, four hundred eighty".