34576641072 has 120 divisors (see below), whose sum is σ = 103811220240. Its totient is φ = 11128078080.

The previous prime is 34576641019. The next prime is 34576641103. The reversal of 34576641072 is 27014667543.

34576641072 is a `hidden beast` number, since 3 + 4 + 576 + 6 + 4 + 1 + 0 + 72 = 666.

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, 40579 + ... + 266082.

It is an arithmetic number, because the mean of its divisors is an integer number (865093502).

Almost surely, 2^34576641072 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 34576641072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51905610120).

34576641072 is an abundant number, since it is smaller than the sum of its proper divisors (69234579168).

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

34576641072 is a wasteful number, since it uses less digits than its factorization.

34576641072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306713 (or 306695 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 34576641072 in words is "thirty-four billion, five hundred seventy-six million, six hundred forty-one thousand, seventy-two".