34124686560 has 192 divisors, whose sum is σ = 121220064000. Its totient is φ = 8964020736.

The previous prime is 34124686537. The next prime is 34124686573. The reversal of 34124686560 is 6568642143.

34124686560 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 4 + 6 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230491 + ... + 348389.

It is an arithmetic number, because the mean of its divisors is an integer number (631354500).

Almost surely, 2^34124686560 is an apocalyptic number.

34124686560 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 34124686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60610032000).

34124686560 is an abundant number, since it is smaller than the sum of its proper divisors (87095377440).

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

34124686560 is a wasteful number, since it uses less digits than its factorization.

34124686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117990 (or 117976 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 34124686560 in words is "thirty-four billion, one hundred twenty-four million, six hundred eighty-six thousand, five hundred sixty".