34729460064 has 144 divisors (see below), whose sum is σ = 107038228752. Its totient is φ = 10617744384.

The previous prime is 34729460027. The next prime is 34729460083. The reversal of 34729460064 is 46006492743.

It is a happy number.

34729460064 is a `hidden beast` number, since 34 + 7 + 2 + 9 + 4 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34729460064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558267 + ... + 617349.

It is an arithmetic number, because the mean of its divisors is an integer number (743321033).

Almost surely, 2^34729460064 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 34729460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53519114376).

34729460064 is an abundant number, since it is smaller than the sum of its proper divisors (72308768688).

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

34729460064 is a wasteful number, since it uses less digits than its factorization.

34729460064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59269 (or 59258 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34729460064 in words is "thirty-four billion, seven hundred twenty-nine million, four hundred sixty thousand, sixty-four".