3216712500 has 252 divisors, whose sum is σ = 10579221324. Its totient is φ = 855360000.

The previous prime is 3216712469. The next prime is 3216712501. The reversal of 3216712500 is 52176123.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2766339216 + 450373284 = 52596^2 + 21222^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3216712501) 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 83 ways as a sum of consecutive naturals, for example, 9112324 + ... + 9112676.

It is an arithmetic number, because the mean of its divisors is an integer number (41981037).

Almost surely, 2^3216712500 is an apocalyptic number.

3216712500 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 3216712500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289610662).

3216712500 is an abundant number, since it is smaller than the sum of its proper divisors (7362508824).

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

3216712500 is an frugal number, since it uses more digits than its factorization.

3216712500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3216712500 is about 56716.0691515200. The cubic root of 3216712500 is about 1476.1735370023.

Adding to 3216712500 its reverse (52176123), we get a palindrome (3268888623).

It can be divided in two parts, 3216 and 712500, that added together give a square (715716 = 846²).

The spelling of 3216712500 in words is "three billion, two hundred sixteen million, seven hundred twelve thousand, five hundred".