34268405760 has 168 divisors, whose sum is σ = 118791167040. Its totient is φ = 9138143232.

The previous prime is 34268405749. The next prime is 34268405779. The reversal of 34268405760 is 6750486243.

34268405760 is a `hidden beast` number, since 34 + 2 + 6 + 8 + 40 + 576 + 0 = 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 11 ways as a sum of consecutive naturals, for example, 322161 + ... + 415119.

It is an arithmetic number, because the mean of its divisors is an integer number (707090280).

Almost surely, 2^34268405760 is an apocalyptic number.

34268405760 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 34268405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59395583520).

34268405760 is an abundant number, since it is smaller than the sum of its proper divisors (84522761280).

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

34268405760 is an equidigital number, since it uses as much as digits as its factorization.

34268405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92996 (or 92969 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34268405760 in words is "thirty-four billion, two hundred sixty-eight million, four hundred five thousand, seven hundred sixty".