3680127 has 16 divisors (see below), whose sum is σ = 5948160. Its totient is φ = 2230200.

The previous prime is 3680123. The next prime is 3680153. The reversal of 3680127 is 7210863.

It is not a de Polignac number, because 3680127 - 2² = 3680123 is a prime.

It is a super-2 number, since 2×3680127² = 27086669472258, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

3680127 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3680127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5899 + ... + 6492.

It is an arithmetic number, because the mean of its divisors is an integer number (371760).

Almost surely, 2^3680127 is an apocalyptic number.

3680127 is a deficient number, since it is larger than the sum of its proper divisors (2268033).

3680127 is a wasteful number, since it uses less digits than its factorization.

3680127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12411 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3680127 is about 1918.3657107027. The cubic root of 3680127 is about 154.3906285980.

The spelling of 3680127 in words is "three million, six hundred eighty thousand, one hundred twenty-seven".