3445242513200 has 120 divisors (see below), whose sum is σ = 8489565810096. Its totient is φ = 1342821888000.

The previous prime is 3445242513187. The next prime is 3445242513247. The reversal of 3445242513200 is 23152425443.

It is a happy number.

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, 13170884 + ... + 13429916.

Almost surely, 2^{3445242513200} 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 3445242513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244782905048).

3445242513200 is an abundant number, since it is smaller than the sum of its proper divisors (5044323296896).

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

3445242513200 is a wasteful number, since it uses less digits than its factorization.

3445242513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259903 (or 259892 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 3445242513200 its reverse (23152425443), we get a palindrome (3468394938643).

The spelling of 3445242513200 in words is "three trillion, four hundred forty-five billion, two hundred forty-two million, five hundred thirteen thousand, two hundred".