3677542625 has 64 divisors (see below), whose sum is σ = 4968138240. Its totient is φ = 2709504000.

The previous prime is 3677542573. The next prime is 3677542639. The reversal of 3677542625 is 5262457763.

It is not a de Polignac number, because 3677542625 - 2¹⁰ = 3677541601 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3677542625.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19054529 + ... + 19054721.

It is an arithmetic number, because the mean of its divisors is an integer number (77627160).

Almost surely, 2^3677542625 is an apocalyptic number.

It is an amenable number.

3677542625 is a deficient number, since it is larger than the sum of its proper divisors (1290595615).

3677542625 is a wasteful number, since it uses less digits than its factorization.

3677542625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 47.

The square root of 3677542625 is about 60642.7458563677. The cubic root of 3677542625 is about 1543.5447978053.

The spelling of 3677542625 in words is "three billion, six hundred seventy-seven million, five hundred forty-two thousand, six hundred twenty-five".