34729859934 has 96 divisors (see below), whose sum is σ = 94165493760. Its totient is φ = 8987112000.

The previous prime is 34729859917. The next prime is 34729859939. The reversal of 34729859934 is 43995892743.

34729859934 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 9 + 8 + 599 + 34 = 666.

34729859934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34729859939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326259 + ... + 419409.

It is an arithmetic number, because the mean of its divisors is an integer number (980890560).

Almost surely, 2^34729859934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34729859934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47082746880).

34729859934 is an abundant number, since it is smaller than the sum of its proper divisors (59435633826).

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

34729859934 is a wasteful number, since it uses less digits than its factorization.

34729859934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93446 (or 93443 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 34729859934 in words is "thirty-four billion, seven hundred twenty-nine million, eight hundred fifty-nine thousand, nine hundred thirty-four".