3213541200 has 120 divisors (see below), whose sum is σ = 10468749600. Its totient is φ = 842401280.

The previous prime is 3213541171. The next prime is 3213541207. The reversal of 3213541200 is 21453123.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213541207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48106 + ... + 93494.

It is an arithmetic number, because the mean of its divisors is an integer number (87239580).

Almost surely, 2^3213541200 is an apocalyptic number.

3213541200 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 3213541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234374800).

3213541200 is an abundant number, since it is smaller than the sum of its proper divisors (7255208400).

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

3213541200 is a wasteful number, since it uses less digits than its factorization.

3213541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45469 (or 45458 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3213541200 is about 56688.1045722998. The cubic root of 3213541200 is about 1475.6882663610.

Adding to 3213541200 its reverse (21453123), we get a palindrome (3234994323).

The spelling of 3213541200 in words is "three billion, two hundred thirteen million, five hundred forty-one thousand, two hundred".