3452221344000 has 576 divisors, whose sum is σ = 13471248930048. Its totient is φ = 772521984000.

The previous prime is 3452221343993. The next prime is 3452221344023. The reversal of 3452221344000 is 4431222543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13602264 + ... + 13853736.

It is an arithmetic number, because the mean of its divisors is an integer number (23387584948).

Almost surely, 2^{3452221344000} is an apocalyptic number.

3452221344000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3452221344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735624465024).

3452221344000 is an abundant number, since it is smaller than the sum of its proper divisors (10019027586048).

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

3452221344000 is a wasteful number, since it uses less digits than its factorization.

3452221344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251531 (or 251507 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 3452221344000 its reverse (4431222543), we get a palindrome (3456652566543).

The spelling of 3452221344000 in words is "three trillion, four hundred fifty-two billion, two hundred twenty-one million, three hundred forty-four thousand".