34295634072 has 96 divisors (see below), whose sum is σ = 106418501280. Its totient is φ = 9774259200.

The previous prime is 34295634031. The next prime is 34295634119. The reversal of 34295634072 is 27043659243.

34295634072 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 5 + 634 + 0 + 7 + 2 = 666.

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, 117258 + ... + 286950.

It is an arithmetic number, because the mean of its divisors is an integer number (1108526055).

Almost surely, 2^34295634072 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 34295634072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53209250640).

34295634072 is an abundant number, since it is smaller than the sum of its proper divisors (72122867208).

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

34295634072 is a wasteful number, since it uses less digits than its factorization.

34295634072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170113 (or 170106 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 34295634072 in words is "thirty-four billion, two hundred ninety-five million, six hundred thirty-four thousand, seventy-two".