3085824 has 120 divisors (see below), whose sum is σ = 9796248. Its totient is φ = 860160.

The previous prime is 3085813. The next prime is 3085843. The reversal of 3085824 is 4285803.

It is a junction number, because it is equal to n+sod(n) for n = 3085791 and 3085800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75244 + ... + 75284.

Almost surely, 2^3085824 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 3085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898124).

3085824 is an abundant number, since it is smaller than the sum of its proper divisors (6710424).

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

3085824 is an equidigital number, since it uses as much as digits as its factorization.

3085824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3085824 is about 1756.6513598321. The cubic root of 3085824 is about 145.5873756313.

The spelling of 3085824 in words is "three million, eighty-five thousand, eight hundred twenty-four".