3445129849000 has 512 divisors, whose sum is σ = 10112196556800. Its totient is φ = 1071183052800.

The previous prime is 3445129848997. The next prime is 3445129849039. The reversal of 3445129849000 is 9489215443.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2840172394 + ... + 2840173606.

It is an arithmetic number, because the mean of its divisors is an integer number (19750383900).

Almost surely, 2^{3445129849000} 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 3445129849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056098278400).

3445129849000 is an abundant number, since it is smaller than the sum of its proper divisors (6667066707800).

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

3445129849000 is a wasteful number, since it uses less digits than its factorization.

3445129849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 3445129849000 in words is "three trillion, four hundred forty-five billion, one hundred twenty-nine million, eight hundred forty-nine thousand".