3213200000 has 192 divisors, whose sum is σ = 8306890200. Its totient is φ = 1236480000.

The previous prime is 3213199993. The next prime is 3213200009. The reversal of 3213200000 is 23123.

It can be written as a sum of positive squares in 12 ways, for example, as 2014932544 + 1198267456 = 44888^2 + 34616^2 .

It is not an unprimeable number, because it can be changed into a prime (3213200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11599862 + ... + 11600138.

Almost surely, 2^3213200000 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 3213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153445100).

3213200000 is an abundant number, since it is smaller than the sum of its proper divisors (5093690200).

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

3213200000 is an frugal number, since it uses more digits than its factorization.

3213200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3213200000 is about 56685.0950427006. The cubic root of 3213200000 is about 1475.6360370988.

Adding to 3213200000 its reverse (23123), we get a palindrome (3213223123).

The spelling of 3213200000 in words is "three billion, two hundred thirteen million, two hundred thousand".