3002585680 has 80 divisors (see below), whose sum is σ = 7144899840. Its totient is φ = 1173046784.

The previous prime is 3002585659. The next prime is 3002585699. The reversal of 3002585680 is 865852003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011879 + ... + 1014841.

It is an arithmetic number, because the mean of its divisors is an integer number (89311248).

Almost surely, 2^3002585680 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 3002585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572449920).

3002585680 is an abundant number, since it is smaller than the sum of its proper divisors (4142314160).

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

3002585680 is a wasteful number, since it uses less digits than its factorization.

3002585680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 3002585680 is about 54795.8545877332. The cubic root of 3002585680 is about 1442.6638064176.

The spelling of 3002585680 in words is "three billion, two million, five hundred eighty-five thousand, six hundred eighty".