34034560560 has 1680 divisors, whose sum is σ = 163529658432. Its totient is φ = 6404935680.

The previous prime is 34034560531. The next prime is 34034560579. The reversal of 34034560560 is 6506543043.

34034560560 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 45 + 605 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 642161494 + ... + 642161546.

Almost surely, 2^34034560560 is an apocalyptic number.

34034560560 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 34034560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81764829216).

34034560560 is an abundant number, since it is smaller than the sum of its proper divisors (129495097872).

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

34034560560 is a wasteful number, since it uses less digits than its factorization.

34034560560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 34034560560 in words is "thirty-four billion, thirty-four million, five hundred sixty thousand, five hundred sixty".