3634126561 has 16 divisors (see below), whose sum is σ = 4261723200. Its totient is φ = 3068428608.

The previous prime is 3634126547. The next prime is 3634126577. The reversal of 3634126561 is 1656214363.

It is a cyclic number.

It is not a de Polignac number, because 3634126561 - 2²⁷ = 3499908833 is a prime.

It is a super-2 number, since 2×3634126561² = 26413751722731373442, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3634126561.

It is not an unprimeable number, because it can be changed into a prime (3634126501) 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 15 ways as a sum of consecutive naturals, for example, 246511 + ... + 260836.

It is an arithmetic number, because the mean of its divisors is an integer number (266357700).

Almost surely, 2^3634126561 is an apocalyptic number.

It is an amenable number.

3634126561 is a deficient number, since it is larger than the sum of its proper divisors (627596639).

3634126561 is a wasteful number, since it uses less digits than its factorization.

3634126561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507408.

The product of its digits is 77760, while the sum is 37.

The square root of 3634126561 is about 60283.7172128594. The cubic root of 3634126561 is about 1537.4465134499.

The spelling of 3634126561 in words is "three billion, six hundred thirty-four million, one hundred twenty-six thousand, five hundred sixty-one".