3627728041 has 24 divisors (see below), whose sum is σ = 4256160320. Its totient is φ = 3028910112.

The previous prime is 3627727991. The next prime is 3627728051. The reversal of 3627728041 is 1408277263.

It is not a de Polignac number, because 3627728041 - 2⁷ = 3627727913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3627727985 and 3627728003.

It is not an unprimeable number, because it can be changed into a prime (3627728051) 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 23 ways as a sum of consecutive naturals, for example, 4375615 + ... + 4376443.

Almost surely, 2^3627728041 is an apocalyptic number.

It is an amenable number.

3627728041 is a deficient number, since it is larger than the sum of its proper divisors (628432279).

3627728041 is an equidigital number, since it uses as much as digits as its factorization.

3627728041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 3627728041 is about 60230.6237805985. The cubic root of 3627728041 is about 1536.5436682283.

The spelling of 3627728041 in words is "three billion, six hundred twenty-seven million, seven hundred twenty-eight thousand, forty-one".