34908387466905 has 80 divisors (see below), whose sum is σ = 62728062249600. Its totient is φ = 18572731107840.

The previous prime is 34908387466867. The next prime is 34908387466937. The reversal of 34908387466905 is 50966478380943.

34908387466905 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 83 + 87 + 466 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 34908387466905 - 2³⁴ = 34891207597721 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2242164961 + ... + 2242180529.

It is an arithmetic number, because the mean of its divisors is an integer number (784100778120).

Almost surely, 2^{34908387466905} is an apocalyptic number.

It is an amenable number.

34908387466905 is a deficient number, since it is larger than the sum of its proper divisors (27819674782695).

34908387466905 is a wasteful number, since it uses less digits than its factorization.

34908387466905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28636 (or 28627 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 34908387466905 in words is "thirty-four trillion, nine hundred eight billion, three hundred eighty-seven million, four hundred sixty-six thousand, nine hundred five".