34791741792 has 72 divisors (see below), whose sum is σ = 99099360360. Its totient is φ = 11578452480.

The previous prime is 34791741779. The next prime is 34791741841. The reversal of 34791741792 is 29714719743.

It is a happy number.

34791741792 is a `hidden beast` number, since 3 + 479 + 1 + 74 + 17 + 92 = 666.

34791741792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80692 + ... + 275852.

It is an arithmetic number, because the mean of its divisors is an integer number (1376380005).

Almost surely, 2^34791741792 is an apocalyptic number.

34791741792 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 34791741792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49549680180).

34791741792 is an abundant number, since it is smaller than the sum of its proper divisors (64307618568).

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

34791741792 is a wasteful number, since it uses less digits than its factorization.

34791741792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195796 (or 195785 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 34791741792 in words is "thirty-four billion, seven hundred ninety-one million, seven hundred forty-one thousand, seven hundred ninety-two".