34498475618976 has 144 divisors (see below), whose sum is σ = 103274702425440. Its totient is φ = 10893597258240.

The previous prime is 34498475618953. The next prime is 34498475618983. The reversal of 34498475618976 is 67981657489443.

34498475618976 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 8 + 47 + 561 + 8 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 34498475618895 and 34498475618904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94708171 + ... + 95071733.

It is an arithmetic number, because the mean of its divisors is an integer number (717185433510).

Almost surely, 2^{34498475618976} is an apocalyptic number.

34498475618976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34498475618976 is an abundant number, since it is smaller than the sum of its proper divisors (68776226806464).

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

34498475618976 is a wasteful number, since it uses less digits than its factorization.

34498475618976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380939 (or 380928 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 34498475618976 in words is "thirty-four trillion, four hundred ninety-eight billion, four hundred seventy-five million, six hundred eighteen thousand, nine hundred seventy-six".