34612415616 has 192 divisors, whose sum is σ = 100826069760. Its totient is φ = 10507468800.

The previous prime is 34612415557. The next prime is 34612415693. The reversal of 34612415616 is 61651421643.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 3435226 + ... + 3445286.

It is an arithmetic number, because the mean of its divisors is an integer number (525135780).

Almost surely, 2^34612415616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34612415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50413034880).

34612415616 is an abundant number, since it is smaller than the sum of its proper divisors (66213654144).

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

34612415616 is a wasteful number, since it uses less digits than its factorization.

34612415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143 (or 10114 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 34612415616 in words is "thirty-four billion, six hundred twelve million, four hundred fifteen thousand, six hundred sixteen".