3681541 has 8 divisors (see below), whose sum is σ = 3908160. Its totient is φ = 3460512.

The previous prime is 3681527. The next prime is 3681553. The reversal of 3681541 is 1451863.

3681541 is a nontrivial binomial coefficient, being equal to C(2714, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3681541 - 2⁷ = 3681413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 2713.

It is an arithmetic number, because the mean of its divisors is an integer number (488520).

Almost surely, 2^3681541 is an apocalyptic number.

3681541 is the 2713-rd triangular number and also the 1357-th hexagonal number.

3681541 is the 905-th centered nonagonal number.

It is an amenable number.

3681541 is a deficient number, since it is larger than the sum of its proper divisors (226619).

3681541 is a wasteful number, since it uses less digits than its factorization.

3681541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795.

The product of its digits is 2880, while the sum is 28.

The square root of 3681541 is about 1918.7342181761. The cubic root of 3681541 is about 154.4103996906.

It can be divided in two parts, 36815 and 41, that added together give a triangular number (36856 = T₂₇₁).

The spelling of 3681541 in words is "three million, six hundred eighty-one thousand, five hundred forty-one".