34354060560 has 120 divisors (see below), whose sum is σ = 115868112984. Its totient is φ = 9121720320.

The previous prime is 34354060553. The next prime is 34354060577. The reversal of 34354060560 is 6506045343.

34354060560 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 40 + 605 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1919491344 + 32434569216 = 43812^2 + 180096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65370 + ... + 270150.

Almost surely, 2^34354060560 is an apocalyptic number.

34354060560 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 34354060560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57934056492).

34354060560 is an abundant number, since it is smaller than the sum of its proper divisors (81514052424).

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

34354060560 is a wasteful number, since it uses less digits than its factorization.

34354060560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205033 (or 205024 counting only the distinct ones).

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

The spelling of 34354060560 in words is "thirty-four billion, three hundred fifty-four million, sixty thousand, five hundred sixty".