34207455006 has 64 divisors (see below), whose sum is σ = 78719400000. Its totient is φ = 10997876736.

The previous prime is 34207455001. The next prime is 34207455013. The reversal of 34207455006 is 60055470243.

34207455006 is a `hidden beast` number, since 34 + 2 + 0 + 74 + 550 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34207455001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569270 + ... + 1590918.

It is an arithmetic number, because the mean of its divisors is an integer number (1229990625).

Almost surely, 2^34207455006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34207455006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39359700000).

34207455006 is an abundant number, since it is smaller than the sum of its proper divisors (44511944994).

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

34207455006 is a wasteful number, since it uses less digits than its factorization.

34207455006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22698 (or 22692 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 34207455006 in words is "thirty-four billion, two hundred seven million, four hundred fifty-five thousand, six".