3634406505 has 48 divisors (see below), whose sum is σ = 6344732160. Its totient is φ = 1924539264.

The previous prime is 3634406453. The next prime is 3634406519. The reversal of 3634406505 is 5056044363.

It is a de Polignac number, because none of the positive numbers 2^k-3634406505 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3634406505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5928579 + ... + 5929191.

It is an arithmetic number, because the mean of its divisors is an integer number (132181920).

Almost surely, 2^3634406505 is an apocalyptic number.

It is an amenable number.

3634406505 is a deficient number, since it is larger than the sum of its proper divisors (2710325655).

3634406505 is a wasteful number, since it uses less digits than its factorization.

3634406505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3634406505 is about 60286.0390554895. The cubic root of 3634406505 is about 1537.4859899576.

The spelling of 3634406505 in words is "three billion, six hundred thirty-four million, four hundred six thousand, five hundred five".