34478616656 has 80 divisors (see below), whose sum is σ = 73682188800. Its totient is φ = 15499123200.

The previous prime is 34478616631. The next prime is 34478616677. The reversal of 34478616656 is 65661687443.

It is a super-2 number, since 2×34478616656² (a number of 22 digits) contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 12679265 + ... + 12681983.

It is an arithmetic number, because the mean of its divisors is an integer number (921027360).

Almost surely, 2^34478616656 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 34478616656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36841094400).

34478616656 is an abundant number, since it is smaller than the sum of its proper divisors (39203572144).

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

34478616656 is a wasteful number, since it uses less digits than its factorization.

34478616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3502 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 56.

The spelling of 34478616656 in words is "thirty-four billion, four hundred seventy-eight million, six hundred sixteen thousand, six hundred fifty-six".