34661128725 has 144 divisors (see below), whose sum is σ = 67327275600. Its totient is φ = 16981401600.

The previous prime is 34661128721. The next prime is 34661128729. The reversal of 34661128725 is 52782116643.

34661128725 is a `hidden beast` number, since 3 + 4 + 6 + 611 + 2 + 8 + 7 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (34661128721) and next prime (34661128729).

It can be written as a sum of positive squares in 24 ways, for example, as 27477040644 + 7184088081 = 165762^2 + 84759^2 .

It is not a de Polignac number, because 34661128725 - 2² = 34661128721 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34661128721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34764927 + ... + 34765923.

It is an arithmetic number, because the mean of its divisors is an integer number (467550525).

Almost surely, 2^34661128725 is an apocalyptic number.

It is an amenable number.

34661128725 is a deficient number, since it is larger than the sum of its proper divisors (32666146875).

34661128725 is a wasteful number, since it uses less digits than its factorization.

34661128725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1232 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 34661128725 in words is "thirty-four billion, six hundred sixty-one million, one hundred twenty-eight thousand, seven hundred twenty-five".