34719667104 has 48 divisors (see below), whose sum is σ = 91975292640. Its totient is φ = 11467042560.

The previous prime is 34719667093. The next prime is 34719667193. The reversal of 34719667104 is 40176691743.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 1648542 + ... + 1669469.

It is an arithmetic number, because the mean of its divisors is an integer number (1916151930).

Almost surely, 2^34719667104 is an apocalyptic number.

It is an amenable number.

34719667104 is an abundant number, since it is smaller than the sum of its proper divisors (57255625536).

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

34719667104 is a wasteful number, since it uses less digits than its factorization.

34719667104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318133 (or 3318125 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 34719667104 in words is "thirty-four billion, seven hundred nineteen million, six hundred sixty-seven thousand, one hundred four".