34928671680 has 336 divisors, whose sum is σ = 137648070144. Its totient is φ = 7963637760.

The previous prime is 34928671667. The next prime is 34928671691. The reversal of 34928671680 is 8617682943.

34928671680 is a `hidden beast` number, since 3 + 492 + 8 + 6 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8928925 + ... + 8932835.

Almost surely, 2^34928671680 is an apocalyptic number.

34928671680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34928671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68824035072).

34928671680 is an abundant number, since it is smaller than the sum of its proper divisors (102719398464).

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

34928671680 is a wasteful number, since it uses less digits than its factorization.

34928671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 34928671680 in words is "thirty-four billion, nine hundred twenty-eight million, six hundred seventy-one thousand, six hundred eighty".