34048365792 has 144 divisors (see below), whose sum is σ = 104124061440. Its totient is φ = 9713609472.

The previous prime is 34048365751. The next prime is 34048365797. The reversal of 34048365792 is 29756384043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34048365797) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3377143 + ... + 3387209.

It is an arithmetic number, because the mean of its divisors is an integer number (723083760).

Almost surely, 2^34048365792 is an apocalyptic number.

34048365792 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 34048365792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52062030720).

34048365792 is an abundant number, since it is smaller than the sum of its proper divisors (70075695648).

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

34048365792 is a wasteful number, since it uses less digits than its factorization.

34048365792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 34048365792 in words is "thirty-four billion, forty-eight million, three hundred sixty-five thousand, seven hundred ninety-two".