3082800000 has 384 divisors, whose sum is σ = 11729249280. Its totient is φ = 702720000.

The previous prime is 3082799953. The next prime is 3082800011. The reversal of 3082800000 is 82803.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3082800000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8399817 + ... + 8400183.

It is an arithmetic number, because the mean of its divisors is an integer number (30544920).

Almost surely, 2^3082800000 is an apocalyptic number.

3082800000 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 3082800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864624640).

3082800000 is an abundant number, since it is smaller than the sum of its proper divisors (8646449280).

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

3082800000 is an frugal number, since it uses more digits than its factorization.

3082800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3082800000 is about 55522.9682203680. The cubic root of 3082800000 is about 1455.3980323632.

Adding to 3082800000 its reverse (82803), we get a palindrome (3082882803).

The spelling of 3082800000 in words is "three billion, eighty-two million, eight hundred thousand".