3444413313210 has 128 divisors (see below), whose sum is σ = 8493830553600. Its totient is φ = 893400814080.

The previous prime is 3444413313167. The next prime is 3444413313227. The reversal of 3444413313210 is 123133144443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859597027 + ... + 859601033.

It is an arithmetic number, because the mean of its divisors is an integer number (66358051200).

Almost surely, 2^{3444413313210} is an apocalyptic number.

3444413313210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444413313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246915276800).

3444413313210 is an abundant number, since it is smaller than the sum of its proper divisors (5049417240390).

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

3444413313210 is a wasteful number, since it uses less digits than its factorization.

3444413313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 3444413313210 its reverse (123133144443), we get a palindrome (3567546457653).

The spelling of 3444413313210 in words is "three trillion, four hundred forty-four billion, four hundred thirteen million, three hundred thirteen thousand, two hundred ten".