3086560800 has 432 divisors, whose sum is σ = 11670003072. Its totient is φ = 764928000.

The previous prime is 3086560793. The next prime is 3086560801. The reversal of 3086560800 is 80656803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3086560801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 18482317 + ... + 18482483.

It is an arithmetic number, because the mean of its divisors is an integer number (27013896).

Almost surely, 2^3086560800 is an apocalyptic number.

3086560800 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 3086560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835001536).

3086560800 is an abundant number, since it is smaller than the sum of its proper divisors (8583442272).

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

3086560800 is a wasteful number, since it uses less digits than its factorization.

3086560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3086560800 is about 55556.8249632752. The cubic root of 3086560800 is about 1455.9896197384.

The spelling of 3086560800 in words is "three billion, eighty-six million, five hundred sixty thousand, eight hundred".