3666556800 has 192 divisors, whose sum is σ = 13418895600. Its totient is φ = 977725440.

The previous prime is 3666556793. The next prime is 3666556813. The reversal of 3666556800 is 86556663.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 65182 + ... + 107618.

Almost surely, 2^3666556800 is an apocalyptic number.

3666556800 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 3666556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709447800).

3666556800 is an abundant number, since it is smaller than the sum of its proper divisors (9752338800).

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

3666556800 is a wasteful number, since it uses less digits than its factorization.

3666556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42470 (or 42447 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3666556800 is about 60552.0998810116. The cubic root of 3666556800 is about 1542.0062680482.

The spelling of 3666556800 in words is "three billion, six hundred sixty-six million, five hundred fifty-six thousand, eight hundred".