34828168876288 has 144 divisors (see below), whose sum is σ = 72547919619840. Its totient is φ = 16673472921600.

The previous prime is 34828168876231. The next prime is 34828168876307. The reversal of 34828168876288 is 88267886182843.

It is a super-2 number, since 2×34828168876288² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 189077353 + ... + 189261463.

It is an arithmetic number, because the mean of its divisors is an integer number (503804997360).

Almost surely, 2^{34828168876288} 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 34828168876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36273959809920).

34828168876288 is an abundant number, since it is smaller than the sum of its proper divisors (37719750743552).

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

34828168876288 is a wasteful number, since it uses less digits than its factorization.

34828168876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184504 (or 184490 counting only the distinct ones).

The product of its digits is 3170893824, while the sum is 79.

The spelling of 34828168876288 in words is "thirty-four trillion, eight hundred twenty-eight billion, one hundred sixty-eight million, eight hundred seventy-six thousand, two hundred eighty-eight".