34457616006 has 24 divisors (see below), whose sum is σ = 75749802072. Its totient is φ = 10441701600.

The previous prime is 34457615957. The next prime is 34457616043. The reversal of 34457616006 is 60061675443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23730415 + ... + 23731866.

It is an arithmetic number, because the mean of its divisors is an integer number (3156241753).

Almost surely, 2^34457616006 is an apocalyptic number.

34457616006 is an abundant number, since it is smaller than the sum of its proper divisors (41292186066).

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

34457616006 is a wasteful number, since it uses less digits than its factorization.

34457616006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47462308 (or 47462297 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 34457616006 in words is "thirty-four billion, four hundred fifty-seven million, six hundred sixteen thousand, six".