34408603665 has 24 divisors (see below), whose sum is σ = 59660932968. Its totient is φ = 18345300480.

The previous prime is 34408603631. The next prime is 34408603673. The reversal of 34408603665 is 56630680443.

34408603665 is a `hidden beast` number, since 34 + 4 + 0 + 8 + 603 + 6 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2478844944 + 31929758721 = 49788^2 + 178689^2 .

It is not a de Polignac number, because 34408603665 - 2⁶ = 34408603601 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 34408603665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17947 + ... + 262943.

It is an arithmetic number, because the mean of its divisors is an integer number (2485872207).

Almost surely, 2^34408603665 is an apocalyptic number.

It is an amenable number.

34408603665 is a deficient number, since it is larger than the sum of its proper divisors (25252329303).

34408603665 is a wasteful number, since it uses less digits than its factorization.

34408603665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248129 (or 248126 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 34408603665 in words is "thirty-four billion, four hundred eight million, six hundred three thousand, six hundred sixty-five".