3668008200 has 96 divisors (see below), whose sum is σ = 11393541600. Its totient is φ = 976181760.

The previous prime is 3668008199. The next prime is 3668008217. The reversal of 3668008200 is 28008663.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307956 + ... + 319644.

It is an arithmetic number, because the mean of its divisors is an integer number (118682725).

Almost surely, 2^3668008200 is an apocalyptic number.

3668008200 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 3668008200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696770800).

3668008200 is an abundant number, since it is smaller than the sum of its proper divisors (7725533400).

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

3668008200 is a wasteful number, since it uses less digits than its factorization.

3668008200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12231 (or 12222 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3668008200 is about 60564.0834158332. The cubic root of 3668008200 is about 1542.2097080214.

The spelling of 3668008200 in words is "three billion, six hundred sixty-eight million, eight thousand, two hundred".