3420322011344 has 160 divisors (see below), whose sum is σ = 8211383009280. Its totient is φ = 1346695870464.

The previous prime is 3420322011329. The next prime is 3420322011389. The reversal of 3420322011344 is 4431102230243.

It is a super-2 number, since 2×3420322011344² (a number of 26 digits) contains 22 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 33865529 + ... + 33966375.

It is an arithmetic number, because the mean of its divisors is an integer number (51321143808).

Almost surely, 2^{3420322011344} is an apocalyptic number.

3420322011344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420322011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105691504640).

3420322011344 is an abundant number, since it is smaller than the sum of its proper divisors (4791060997936).

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

3420322011344 is a wasteful number, since it uses less digits than its factorization.

3420322011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101305 (or 101299 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3420322011344 its reverse (4431102230243), we get a palindrome (7851424241587).

The spelling of 3420322011344 in words is "three trillion, four hundred twenty billion, three hundred twenty-two million, eleven thousand, three hundred forty-four".