3343708341792 has 1536 divisors, whose sum is σ = 13249474560000. Its totient is φ = 795609464832.

The previous prime is 3343708341791. The next prime is 3343708341817. The reversal of 3343708341792 is 2971438073433.

3343708341792 is a `hidden beast` number, since 3 + 3 + 437 + 0 + 8 + 34 + 179 + 2 = 666.

It is a super-2 number, since 2×3343708341792² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3343708341791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3422423608 + ... + 3422424584.

It is an arithmetic number, because the mean of its divisors is an integer number (8625960000).

Almost surely, 2^{3343708341792} is an apocalyptic number.

3343708341792 is a gapful number since it is divisible by the number (32) 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 3343708341792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624737280000).

3343708341792 is an abundant number, since it is smaller than the sum of its proper divisors (9905766218208).

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

3343708341792 is a wasteful number, since it uses less digits than its factorization.

3343708341792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3343708341792 in words is "three trillion, three hundred forty-three billion, seven hundred eight million, three hundred forty-one thousand, seven hundred ninety-two".