34006382072 has 64 divisors (see below), whose sum is σ = 72755172000. Its totient is φ = 14762004480.

The previous prime is 34006382057. The next prime is 34006382083. The reversal of 34006382072 is 27028360043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2998172 + ... + 3009492.

Almost surely, 2^34006382072 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 34006382072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36377586000).

34006382072 is an abundant number, since it is smaller than the sum of its proper divisors (38748789928).

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

34006382072 is a wasteful number, since it uses less digits than its factorization.

34006382072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13056 (or 13052 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 34006382072 in words is "thirty-four billion, six million, three hundred eighty-two thousand, seventy-two".