34353826848 has 144 divisors (see below), whose sum is σ = 112844231136. Its totient is φ = 9797867520.

The previous prime is 34353826847. The next prime is 34353826873. The reversal of 34353826848 is 84862835343.

34353826848 is a `hidden beast` number, since 3 + 4 + 3 + 538 + 2 + 68 + 48 = 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 = 34353826794 and 34353826803.

It is not an unprimeable number, because it can be changed into a prime (34353826841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265086 + ... + 372797.

It is an arithmetic number, because the mean of its divisors is an integer number (783640494).

Almost surely, 2^34353826848 is an apocalyptic number.

It is an amenable number.

34353826848 is an abundant number, since it is smaller than the sum of its proper divisors (78490404288).

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

34353826848 is a wasteful number, since it uses less digits than its factorization.

34353826848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637927 (or 637916 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 34353826848 in words is "thirty-four billion, three hundred fifty-three million, eight hundred twenty-six thousand, eight hundred forty-eight".