34181755552 has 192 divisors, whose sum is σ = 81245203200. Its totient is φ = 14142256128.

The previous prime is 34181755529. The next prime is 34181755577. The reversal of 34181755552 is 25555718143.

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, 38975338 + ... + 38976214.

It is an arithmetic number, because the mean of its divisors is an integer number (423152100).

Almost surely, 2^34181755552 is an apocalyptic number.

34181755552 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 34181755552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622601600).

34181755552 is an abundant number, since it is smaller than the sum of its proper divisors (47063447648).

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

34181755552 is an equidigital number, since it uses as much as digits as its factorization.

34181755552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1006 counting only the distinct ones).

The product of its digits is 840000, while the sum is 46.

The spelling of 34181755552 in words is "thirty-four billion, one hundred eighty-one million, seven hundred fifty-five thousand, five hundred fifty-two".