34036536006 has 72 divisors (see below), whose sum is σ = 81862561872. Its totient is φ = 10211916000.

The previous prime is 34036535977. The next prime is 34036536013. The reversal of 34036536006 is 60063563043.

It is a happy number.

34036536006 is a `hidden beast` number, since 3 + 40 + 3 + 6 + 5 + 3 + 600 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142615 + ... + 297341.

It is an arithmetic number, because the mean of its divisors is an integer number (1136980026).

Almost surely, 2^34036536006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34036536006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40931280936).

34036536006 is an abundant number, since it is smaller than the sum of its proper divisors (47826025866).

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

34036536006 is a wasteful number, since it uses less digits than its factorization.

34036536006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154858 (or 154844 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 34036536006 in words is "thirty-four billion, thirty-six million, five hundred thirty-six thousand, six".