3213344000000 has 168 divisors, whose sum is σ = 8031375908010. Its totient is φ = 1285324800000.

The previous prime is 3213343999979. The next prime is 3213344000017. The reversal of 3213344000000 is 4433123.

It can be written as a sum of positive squares in 7 ways, for example, as 2532732199936 + 680611800064 = 1591456^2 + 824992^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31949792 + ... + 32050208.

Almost surely, 2^{3213344000000} 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 3213344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015687954005).

3213344000000 is an abundant number, since it is smaller than the sum of its proper divisors (4818031908010).

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

3213344000000 is an frugal number, since it uses more digits than its factorization.

3213344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100469 (or 100424 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3213344000000 its reverse (4433123), we get a palindrome (3213348433123).

The spelling of 3213344000000 in words is "three trillion, two hundred thirteen billion, three hundred forty-four million", and thus it is an aban number.