34006066542 has 120 divisors (see below), whose sum is σ = 89470035864. Its totient is φ = 9624974688.

The previous prime is 34006066511. The next prime is 34006066571. The reversal of 34006066542 is 24566060043.

34006066542 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 606 + 6 + 5 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34006066497 and 34006066506.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 829348 + ... + 869384.

Almost surely, 2^34006066542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34006066542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44735017932).

34006066542 is an abundant number, since it is smaller than the sum of its proper divisors (55463969322).

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

34006066542 is a wasteful number, since it uses less digits than its factorization.

34006066542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40172 (or 40156 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34006066542 in words is "thirty-four billion, six million, sixty-six thousand, five hundred forty-two".