3438129883848 has 192 divisors, whose sum is σ = 10258900983360. Its totient is φ = 948939264000.

The previous prime is 3438129883829. The next prime is 3438129883873. The reversal of 3438129883848 is 8483889218343.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3914388 + ... + 4711548.

It is an arithmetic number, because the mean of its divisors is an integer number (53431775955).

Almost surely, 2^{3438129883848} 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 3438129883848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129450491680).

3438129883848 is an abundant number, since it is smaller than the sum of its proper divisors (6820771099512).

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

3438129883848 is a wasteful number, since it uses less digits than its factorization.

3438129883848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797260 (or 797225 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 69.

The spelling of 3438129883848 in words is "three trillion, four hundred thirty-eight billion, one hundred twenty-nine million, eight hundred eighty-three thousand, eight hundred forty-eight".