3668086800 has 720 divisors, whose sum is σ = 15735183360. Its totient is φ = 772623360.

The previous prime is 3668086789. The next prime is 3668086801. The reversal of 3668086800 is 86808663.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3668086801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22503519 + ... + 22503681.

Almost surely, 2^3668086800 is an apocalyptic number.

3668086800 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 3668086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867591680).

3668086800 is an abundant number, since it is smaller than the sum of its proper divisors (12067096560).

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

3668086800 is a wasteful number, since it uses less digits than its factorization.

3668086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3668086800 is about 60564.7323118001. The cubic root of 3668086800 is about 1542.2207237017.

The spelling of 3668086800 in words is "three billion, six hundred sixty-eight million, eighty-six thousand, eight hundred".