3201211200 has 336 divisors, whose sum is σ = 12064227840. Its totient is φ = 734976000.

The previous prime is 3201211133. The next prime is 3201211201. The reversal of 3201211200 is 21121023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201211201) by changing a digit.

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, 1001605 + ... + 1004795.

It is an arithmetic number, because the mean of its divisors is an integer number (35905440).

Almost surely, 2^3201211200 is an apocalyptic number.

3201211200 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 3201211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032113920).

3201211200 is an abundant number, since it is smaller than the sum of its proper divisors (8863016640).

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

3201211200 is a wasteful number, since it uses less digits than its factorization.

3201211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3201211200 is about 56579.2470787655. The cubic root of 3201211200 is about 1473.7984967937.

Adding to 3201211200 its reverse (21121023), we get a palindrome (3222332223).

The spelling of 3201211200 in words is "three billion, two hundred one million, two hundred eleven thousand, two hundred".