34009475120 has 40 divisors (see below), whose sum is σ = 83723328864. Its totient is φ = 12803566592.

The previous prime is 34009475083. The next prime is 34009475131. The reversal of 34009475120 is 2157490043.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12502124 + ... + 12504843.

Almost surely, 2^34009475120 is an apocalyptic number.

It is an amenable number.

34009475120 is an abundant number, since it is smaller than the sum of its proper divisors (49713853744).

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

34009475120 is a wasteful number, since it uses less digits than its factorization.

34009475120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25006997 (or 25006991 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 34009475120 in words is "thirty-four billion, nine million, four hundred seventy-five thousand, one hundred twenty".