3306421800 has 864 divisors, whose sum is σ = 13892860800. Its totient is φ = 699494400.

The previous prime is 3306421763. The next prime is 3306421813. The reversal of 3306421800 is 81246033.

It is a happy number.

3306421800 is a `hidden beast` number, since 3 + 3 + 0 + 642 + 18 + 0 + 0 = 666.

3306421800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 70349377 + ... + 70349423.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2^3306421800 is an apocalyptic number.

3306421800 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 3306421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946430400).

3306421800 is an abundant number, since it is smaller than the sum of its proper divisors (10586439000).

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

3306421800 is a wasteful number, since it uses less digits than its factorization.

3306421800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3306421800 is about 57501.4938936372. The cubic root of 3306421800 is about 1489.7706657232.

Adding to 3306421800 its reverse (81246033), we get a palindrome (3387667833).

The spelling of 3306421800 in words is "three billion, three hundred six million, four hundred twenty-one thousand, eight hundred".