3442341544000 has 224 divisors, whose sum is σ = 8702444140416. Its totient is φ = 1348508620800.

The previous prime is 3442341543983. The next prime is 3442341544001. The reversal of 3442341544000 is 4451432443.

It is not an unprimeable number, because it can be changed into a prime (3442341544001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92709439 + ... + 92746561.

Almost surely, 2^{3442341544000} 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 3442341544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351222070208).

3442341544000 is an abundant number, since it is smaller than the sum of its proper divisors (5260102596416).

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

3442341544000 is a wasteful number, since it uses less digits than its factorization.

3442341544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37390 (or 37370 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 3442341544000 its reverse (4451432443), we get a palindrome (3446792976443).

The spelling of 3442341544000 in words is "three trillion, four hundred forty-two billion, three hundred forty-one million, five hundred forty-four thousand".