3321331200 has 360 divisors, whose sum is σ = 12971631816. Its totient is φ = 804864000.

The previous prime is 3321331199. The next prime is 3321331219. The reversal of 3321331200 is 21331233.

3321331200 is a `hidden beast` number, since 332 + 1 + 331 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3321331200² = 22062481880186880000, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 1265890 + ... + 1268510.

Almost surely, 2^3321331200 is an apocalyptic number.

3321331200 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 3321331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485815908).

3321331200 is an abundant number, since it is smaller than the sum of its proper divisors (9650300616).

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

3321331200 is a wasteful number, since it uses less digits than its factorization.

3321331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3321331200 is about 57630.9916624727. The cubic root of 3321331200 is about 1492.0065454555.

Adding to 3321331200 its reverse (21331233), we get a palindrome (3342662433).

It can be divided in two parts, 332133 and 1200, that added together give a palindrome (333333).

The spelling of 3321331200 in words is "three billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred".