3213141200 has 60 divisors (see below), whose sum is σ = 7759755948. Its totient is φ = 1278566400.

The previous prime is 3213141143. The next prime is 3213141203. The reversal of 3213141200 is 21413123.

It can be written as a sum of positive squares in 6 ways, for example, as 317409856 + 2895731344 = 17816^2 + 53812^2 .

It is a super-2 number, since 2×3213141200² = 20648552742274880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213141203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56390 + ... + 98010.

Almost surely, 2^3213141200 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 3213141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879877974).

3213141200 is an abundant number, since it is smaller than the sum of its proper divisors (4546614748).

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

3213141200 is a wasteful number, since it uses less digits than its factorization.

3213141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41832 (or 41821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3213141200 is about 56684.5763854684. The cubic root of 3213141200 is about 1475.6270359028.

Adding to 3213141200 its reverse (21413123), we get a palindrome (3234554323).

The spelling of 3213141200 in words is "three billion, two hundred thirteen million, one hundred forty-one thousand, two hundred".