3343120263168 has 384 divisors, whose sum is σ = 10260998092800. Its totient is φ = 948183957504.

The previous prime is 3343120263151. The next prime is 3343120263253. The reversal of 3343120263168 is 8613620213433.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3343120263168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5167109821 + ... + 5167110467.

It is an arithmetic number, because the mean of its divisors is an integer number (26721349200).

Almost surely, 2^{3343120263168} 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 3343120263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130499046400).

3343120263168 is an abundant number, since it is smaller than the sum of its proper divisors (6917877829632).

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

3343120263168 is a wasteful number, since it uses less digits than its factorization.

3343120263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 3343120263168 in words is "three trillion, three hundred forty-three billion, one hundred twenty million, two hundred sixty-three thousand, one hundred sixty-eight".