3666700800 has 360 divisors, whose sum is σ = 14999995296. Its totient is φ = 837918720.

The previous prime is 3666700747. The next prime is 3666700841. The reversal of 3666700800 is 80076663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 804127 + ... + 808673.

Almost surely, 2^3666700800 is an apocalyptic number.

3666700800 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 3666700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499997648).

3666700800 is an abundant number, since it is smaller than the sum of its proper divisors (11333294496).

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

3666700800 is a wasteful number, since it uses less digits than its factorization.

3666700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3666700800 is about 60553.2889280178. The cubic root of 3666700800 is about 1542.0264546527.

The spelling of 3666700800 in words is "three billion, six hundred sixty-six million, seven hundred thousand, eight hundred".