3444475213000 has 256 divisors, whose sum is σ = 8586616896000. Its totient is φ = 1288806400000.

The previous prime is 3444475212887. The next prime is 3444475213009. The reversal of 3444475213000 is 3125744443.

3444475213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3444475213009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2373862275 + ... + 2373863725.

It is an arithmetic number, because the mean of its divisors is an integer number (33541472250).

Almost surely, 2^{3444475213000} 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 3444475213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293308448000).

3444475213000 is an abundant number, since it is smaller than the sum of its proper divisors (5142141683000).

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

3444475213000 is a wasteful number, since it uses less digits than its factorization.

3444475213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 3444475213000 in words is "three trillion, four hundred forty-four billion, four hundred seventy-five million, two hundred thirteen thousand".