3444205054120 has 128 divisors (see below), whose sum is σ = 8007320966400. Its totient is φ = 1332466329600.

The previous prime is 3444205054111. The next prime is 3444205054139. The reversal of 3444205054120 is 214505024443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103783930 + ... + 103817110.

It is an arithmetic number, because the mean of its divisors is an integer number (62557195050).

Almost surely, 2^{3444205054120} 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 3444205054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003660483200).

3444205054120 is an abundant number, since it is smaller than the sum of its proper divisors (4563115912280).

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

3444205054120 is a wasteful number, since it uses less digits than its factorization.

3444205054120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33779 (or 33775 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 3444205054120 in words is "three trillion, four hundred forty-four billion, two hundred five million, fifty-four thousand, one hundred twenty".