34357968288 has 168 divisors, whose sum is σ = 115905672288. Its totient is φ = 9816515712.

The previous prime is 34357968263. The next prime is 34357968301. The reversal of 34357968288 is 88286975343.

34357968288 is a `hidden beast` number, since 34 + 3 + 579 + 6 + 8 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58095 + ... + 268497.

It is an arithmetic number, because the mean of its divisors is an integer number (689914716).

Almost surely, 2^34357968288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34357968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57952836144).

34357968288 is an abundant number, since it is smaller than the sum of its proper divisors (81547704000).

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

34357968288 is an equidigital number, since it uses as much as digits as its factorization.

34357968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210438 (or 210415 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 34357968288 in words is "thirty-four billion, three hundred fifty-seven million, nine hundred sixty-eight thousand, two hundred eighty-eight".