34344679680 has 432 divisors, whose sum is σ = 125944902720. Its totient is φ = 8616886272.

The previous prime is 34344679679. The next prime is 34344679697. The reversal of 34344679680 is 8697644343.

34344679680 is a `hidden beast` number, since 3 + 434 + 46 + 7 + 96 + 80 = 666.

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, 37865787 + ... + 37866693.

Almost surely, 2^34344679680 is an apocalyptic number.

34344679680 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 34344679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62972451360).

34344679680 is an abundant number, since it is smaller than the sum of its proper divisors (91600223040).

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

34344679680 is a wasteful number, since it uses less digits than its factorization.

34344679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 34344679680 in words is "thirty-four billion, three hundred forty-four million, six hundred seventy-nine thousand, six hundred eighty".