3226003200 has 810 divisors, whose sum is σ = 13984688256. Its totient is φ = 731566080.

The previous prime is 3226003171. The next prime is 3226003201. The reversal of 3226003200 is 23006223.

3226003200 is a `hidden beast` number, since 32 + 2 + 600 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226003201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25401537 + ... + 25401663.

Almost surely, 2^3226003200 is an apocalyptic number.

3226003200 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 3226003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992344128).

3226003200 is an abundant number, since it is smaller than the sum of its proper divisors (10758685056).

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

3226003200 is a wasteful number, since it uses less digits than its factorization.

3226003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3226003200 is about 56797.9154547066. The cubic root of 3226003200 is about 1477.5933616183.

Adding to 3226003200 its reverse (23006223), we get a palindrome (3249009423).

The spelling of 3226003200 in words is "three billion, two hundred twenty-six million, three thousand, two hundred".