3213034032224 has 96 divisors (see below), whose sum is σ = 6661640724480. Its totient is φ = 1523451571200.

The previous prime is 3213034032223. The next prime is 3213034032227. The reversal of 3213034032224 is 4222304303123.

It is a super-3 number, since 3×3213034032224³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213034032223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18231569 + ... + 18406959.

It is an arithmetic number, because the mean of its divisors is an integer number (69392090880).

Almost surely, 2^{3213034032224} 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 3213034032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330820362240).

3213034032224 is an abundant number, since it is smaller than the sum of its proper divisors (3448606692256).

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

3213034032224 is a wasteful number, since it uses less digits than its factorization.

3213034032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175804 (or 175796 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 3213034032224 its reverse (4222304303123), we get a palindrome (7435338335347).

The spelling of 3213034032224 in words is "three trillion, two hundred thirteen billion, thirty-four million, thirty-two thousand, two hundred twenty-four".