3285566200 has 192 divisors, whose sum is σ = 9325117440. Its totient is φ = 1050900480.

The previous prime is 3285566177. The next prime is 3285566227. The reversal of 3285566200 is 26655823.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3285566200.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3022057 + ... + 3023143.

It is an arithmetic number, because the mean of its divisors is an integer number (48568320).

Almost surely, 2^3285566200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285566200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662558720).

3285566200 is an abundant number, since it is smaller than the sum of its proper divisors (6039551240).

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

3285566200 is a wasteful number, since it uses less digits than its factorization.

3285566200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 3285566200 is about 57319.8586878928. The cubic root of 3285566200 is about 1486.6317622251.

It can be divided in two parts, 3285566 and 200, that added together give a triangular number (3285766 = T₂₅₆₃).

The spelling of 3285566200 in words is "three billion, two hundred eighty-five million, five hundred sixty-six thousand, two hundred".