3443221324400 has 240 divisors, whose sum is σ = 9730409609760. Its totient is φ = 1154356531200.

The previous prime is 3443221324391. The next prime is 3443221324423. The reversal of 3443221324400 is 44231223443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47382494 + ... + 47455106.

It is an arithmetic number, because the mean of its divisors is an integer number (40543373374).

Almost surely, 2^{3443221324400} 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 3443221324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865204804880).

3443221324400 is an abundant number, since it is smaller than the sum of its proper divisors (6287188285360).

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

3443221324400 is a wasteful number, since it uses less digits than its factorization.

3443221324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73484 (or 73473 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 3443221324400 its reverse (44231223443), we get a palindrome (3487452547843).

The spelling of 3443221324400 in words is "three trillion, four hundred forty-three billion, two hundred twenty-one million, three hundred twenty-four thousand, four hundred".