34507127745 has 48 divisors (see below), whose sum is σ = 60737236560. Its totient is φ = 18121162752.

The previous prime is 34507127737. The next prime is 34507127773. The reversal of 34507127745 is 54772170543.

34507127745 is a `hidden beast` number, since 3 + 450 + 7 + 127 + 74 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 510037056 + 33997090689 = 22584^2 + 184383^2 .

It is not a de Polignac number, because 34507127745 - 2³ = 34507127737 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34507127745.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839841 + ... + 879969.

It is an arithmetic number, because the mean of its divisors is an integer number (1265359095).

Almost surely, 2^34507127745 is an apocalyptic number.

It is an amenable number.

34507127745 is a deficient number, since it is larger than the sum of its proper divisors (26230108815).

34507127745 is a wasteful number, since it uses less digits than its factorization.

34507127745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40434 (or 40431 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

It can be divided in two parts, 345071 and 27745, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 34507127745 in words is "thirty-four billion, five hundred seven million, one hundred twenty-seven thousand, seven hundred forty-five".