3444223054400 has 168 divisors, whose sum is σ = 8926381517280. Its totient is φ = 1304390615040.

The previous prime is 3444223054387. The next prime is 3444223054411. The reversal of 3444223054400 is 44503224443.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51555419 + ... + 51622181.

Almost surely, 2^{3444223054400} 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 3444223054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463190758640).

3444223054400 is an abundant number, since it is smaller than the sum of its proper divisors (5482158462880).

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

3444223054400 is a wasteful number, since it uses less digits than its factorization.

3444223054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68501 (or 68486 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 3444223054400 its reverse (44503224443), we get a palindrome (3488726278843).

The spelling of 3444223054400 in words is "three trillion, four hundred forty-four billion, two hundred twenty-three million, fifty-four thousand, four hundred".