3084480 has 280 divisors, whose sum is σ = 13277088. Its totient is φ = 663552.

The previous prime is 3084467. The next prime is 3084481. The reversal of 3084480 is 844803.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3084481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181432 + ... + 181448.

Almost surely, 2^3084480 is an apocalyptic number.

3084480 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 3084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638544).

3084480 is an abundant number, since it is smaller than the sum of its proper divisors (10192608).

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

3084480 is a wasteful number, since it uses less digits than its factorization.

3084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3084480 is about 1756.2687721417. The cubic root of 3084480 is about 145.5662361834.

The spelling of 3084480 in words is "three million, eighty-four thousand, four hundred eighty".