34176120448 has 64 divisors (see below), whose sum is σ = 70627737600. Its totient is φ = 16453204992.

The previous prime is 34176120427. The next prime is 34176120449. The reversal of 34176120448 is 84402167143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 34176120448.

It is not an unprimeable number, because it can be changed into a prime (34176120449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1349761 + ... + 1374847.

It is an arithmetic number, because the mean of its divisors is an integer number (1103558400).

Almost surely, 2^34176120448 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 34176120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35313868800).

34176120448 is an abundant number, since it is smaller than the sum of its proper divisors (36451617152).

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

34176120448 is a wasteful number, since it uses less digits than its factorization.

34176120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25497 (or 25485 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 34176120448 in words is "thirty-four billion, one hundred seventy-six million, one hundred twenty thousand, four hundred forty-eight".