3213144500 has 96 divisors (see below), whose sum is σ = 7553329056. Its totient is φ = 1189632000.

The previous prime is 3213144461. The next prime is 3213144559. The reversal of 3213144500 is 54413123.

It can be written as a sum of positive squares in 16 ways, for example, as 2805185296 + 407959204 = 52964^2 + 20198^2 .

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 31 ways as a sum of consecutive naturals, for example, 515402 + ... + 521598.

It is an arithmetic number, because the mean of its divisors is an integer number (78680511).

Almost surely, 2^3213144500 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 3213144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776664528).

3213144500 is an abundant number, since it is smaller than the sum of its proper divisors (4340184556).

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

3213144500 is a wasteful number, since it uses less digits than its factorization.

3213144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3213144500 is about 56684.6054939081. The cubic root of 3213144500 is about 1475.6275410749.

Adding to 3213144500 its reverse (54413123), we get a palindrome (3267557623).

The spelling of 3213144500 in words is "three billion, two hundred thirteen million, one hundred forty-four thousand, five hundred".