3286220800 has 180 divisors, whose sum is σ = 8337497616. Its totient is φ = 1284505600.

The previous prime is 3286220797. The next prime is 3286220809. The reversal of 3286220800 is 80226823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3286220809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29081544 + ... + 29081656.

Almost surely, 2^3286220800 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 3286220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168748808).

3286220800 is an abundant number, since it is smaller than the sum of its proper divisors (5051276816).

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

3286220800 is an equidigital number, since it uses as much as digits as its factorization.

3286220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 3286220800 is about 57325.5684664356. The cubic root of 3286220800 is about 1486.7304853950.

The spelling of 3286220800 in words is "three billion, two hundred eighty-six million, two hundred twenty thousand, eight hundred".