34956416090 has 64 divisors (see below), whose sum is σ = 67085262720. Its totient is φ = 13069056000.

The previous prime is 34956416083. The next prime is 34956416123. The reversal of 34956416090 is 9061465943.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17451029 + ... + 17453031.

It is an arithmetic number, because the mean of its divisors is an integer number (1048207230).

Almost surely, 2^34956416090 is an apocalyptic number.

34956416090 is a deficient number, since it is larger than the sum of its proper divisors (32128846630).

34956416090 is a wasteful number, since it uses less digits than its factorization.

34956416090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687.

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 34956416090 in words is "thirty-four billion, nine hundred fifty-six million, four hundred sixteen thousand, ninety".