3211133200 has 120 divisors (see below), whose sum is σ = 8450280576. Its totient is φ = 1162944000.

The previous prime is 3211133197. The next prime is 3211133203. The reversal of 3211133200 is 23311123.

It is an interprime number because it is at equal distance from previous prime (3211133197) and next prime (3211133203).

It is a super-3 number, since 3×3211133200³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3211133203) 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 23 ways as a sum of consecutive naturals, for example, 1191054 + ... + 1193746.

Almost surely, 2^3211133200 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 3211133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225140288).

3211133200 is an abundant number, since it is smaller than the sum of its proper divisors (5239147376).

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

3211133200 is a wasteful number, since it uses less digits than its factorization.

3211133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3211133200 is about 56666.8615682923. The cubic root of 3211133200 is about 1475.3195821936.

Adding to 3211133200 its reverse (23311123), we get a palindrome (3234444323).

The spelling of 3211133200 in words is "three billion, two hundred eleven million, one hundred thirty-three thousand, two hundred".