3887541 has 32 divisors (see below), whose sum is σ = 6702080. Its totient is φ = 2181168.

The previous prime is 3887531. The next prime is 3887549. The reversal of 3887541 is 1457883.

3887541 is a `hidden beast` number, since 38 + 87 + 541 = 666.

It is not a de Polignac number, because 3887541 - 2¹⁸ = 3625397 is a prime.

It is a super-2 number, since 2×3887541² = 30225950053362, which contains 22 as substring.

Its product of digits (26880) is a multiple of the sum of its prime divisors (384).

3887541 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3887496 and 3887505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12510 + ... + 12816.

It is an arithmetic number, because the mean of its divisors is an integer number (209440).

Almost surely, 2^3887541 is an apocalyptic number.

It is an amenable number.

3887541 is a deficient number, since it is larger than the sum of its proper divisors (2814539).

3887541 is a wasteful number, since it uses less digits than its factorization.

3887541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 3887541 is about 1971.6848125398. The cubic root of 3887541 is about 157.2382955474.

The spelling of 3887541 in words is "three million, eight hundred eighty-seven thousand, five hundred forty-one".