3082580480 has 240 divisors, whose sum is σ = 8776848960. Its totient is φ = 1017077760.

The previous prime is 3082580461. The next prime is 3082580507. The reversal of 3082580480 is 840852803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17221031 + ... + 17221209.

It is an arithmetic number, because the mean of its divisors is an integer number (36570204).

Almost surely, 2^3082580480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388424480).

3082580480 is an abundant number, since it is smaller than the sum of its proper divisors (5694268480).

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

3082580480 is an equidigital number, since it uses as much as digits as its factorization.

3082580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 3082580480 is about 55520.9913456163. The cubic root of 3082580480 is about 1455.3634862190.

The spelling of 3082580480 in words is "three billion, eighty-two million, five hundred eighty thousand, four hundred eighty".