3005116200 has 240 divisors, whose sum is σ = 10611804060. Its totient is φ = 787968000.

The previous prime is 3005116159. The next prime is 3005116201. The reversal of 3005116200 is 26115003.

3005116200 is a `hidden beast` number, since 30 + 0 + 5 + 11 + 620 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1134207684 + 1870908516 = 33678^2 + 43254^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3005116201) 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 59 ways as a sum of consecutive naturals, for example, 986680 + ... + 989720.

Almost surely, 2^3005116200 is an apocalyptic number.

3005116200 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 3005116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305902030).

3005116200 is an abundant number, since it is smaller than the sum of its proper divisors (7606687860).

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

3005116200 is a wasteful number, since it uses less digits than its factorization.

3005116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3005116200 is about 54818.9401575769. The cubic root of 3005116200 is about 1443.0689754850.

The spelling of 3005116200 in words is "three billion, five million, one hundred sixteen thousand, two hundred".