3413317111344 has 400 divisors, whose sum is σ = 11536989710400. Its totient is φ = 954044282880.

The previous prime is 3413317111207. The next prime is 3413317111367. The reversal of 3413317111344 is 4431117133143.

3413317111344 is a `hidden beast` number, since 3 + 4 + 133 + 171 + 11 + 344 = 666.

3413317111344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3413317111299 and 3413317111308.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167794614 + ... + 167814954.

It is an arithmetic number, because the mean of its divisors is an integer number (28842474276).

Almost surely, 2^{3413317111344} 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 3413317111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768494855200).

3413317111344 is an abundant number, since it is smaller than the sum of its proper divisors (8123672599056).

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

3413317111344 is a wasteful number, since it uses less digits than its factorization.

3413317111344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20770 (or 20755 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 3413317111344 in words is "three trillion, four hundred thirteen billion, three hundred seventeen million, one hundred eleven thousand, three hundred forty-four".