3213324115344 has 320 divisors, whose sum is σ = 11175193313280. Its totient is φ = 864462896640.

The previous prime is 3213324115343. The next prime is 3213324115367. The reversal of 3213324115344 is 4435114233123.

3213324115344 is a `hidden beast` number, since 3 + 213 + 324 + 115 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3213324115299 and 3213324115308.

It is not an unprimeable number, because it can be changed into a prime (3213324115343) 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 63 ways as a sum of consecutive naturals, for example, 3005317 + ... + 3931739.

It is an arithmetic number, because the mean of its divisors is an integer number (34922479104).

Almost surely, 2^{3213324115344} 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 3213324115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587596656640).

3213324115344 is an abundant number, since it is smaller than the sum of its proper divisors (7961869197936).

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

3213324115344 is a wasteful number, since it uses less digits than its factorization.

3213324115344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926515 (or 926503 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 3213324115344 its reverse (4435114233123), we get a palindrome (7648438348467).

The spelling of 3213324115344 in words is "three trillion, two hundred thirteen billion, three hundred twenty-four million, one hundred fifteen thousand, three hundred forty-four".