3343826182968 has 224 divisors, whose sum is σ = 9584511753600. Its totient is φ = 1092786349824.

The previous prime is 3343826182951. The next prime is 3343826182981. The reversal of 3343826182968 is 8692816283433.

It is a happy number.

3343826182968 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 8 + 2 + 618 + 2 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×3343826182968² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 552969721 + ... + 552975767.

It is an arithmetic number, because the mean of its divisors is an integer number (42787998900).

Almost surely, 2^{3343826182968} 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 3343826182968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792255876800).

3343826182968 is an abundant number, since it is smaller than the sum of its proper divisors (6240685570632).

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

3343826182968 is a wasteful number, since it uses less digits than its factorization.

3343826182968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7894 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 3343826182968 in words is "three trillion, three hundred forty-three billion, eight hundred twenty-six million, one hundred eighty-two thousand, nine hundred sixty-eight".