34123917984 has 192 divisors, whose sum is σ = 103004504064. Its totient is φ = 9809243136.

The previous prime is 34123917979. The next prime is 34123918021. The reversal of 34123917984 is 48971932143.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220449 + ... + 1248095.

It is an arithmetic number, because the mean of its divisors is an integer number (536481792).

Almost surely, 2^34123917984 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 34123917984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51502252032).

34123917984 is an abundant number, since it is smaller than the sum of its proper divisors (68880586080).

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

34123917984 is a wasteful number, since it uses less digits than its factorization.

34123917984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27739 (or 27731 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 34123917984 in words is "thirty-four billion, one hundred twenty-three million, nine hundred seventeen thousand, nine hundred eighty-four".