3887964 has 18 divisors (see below), whose sum is σ = 9828000. Its totient is φ = 1295976.

The previous prime is 3887963. The next prime is 3887971. The reversal of 3887964 is 4697883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887963) 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 5 ways as a sum of consecutive naturals, for example, 53964 + ... + 54035.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^3887964 is an apocalyptic number.

It is an amenable number.

3887964 is an abundant number, since it is smaller than the sum of its proper divisors (5940036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3887964 is a wasteful number, since it uses less digits than its factorization.

3887964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108009 (or 108004 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3887964 is about 1971.7920782882. The cubic root of 3887964 is about 157.2439983286.

It can be divided in two parts, 3887 and 964, that added together give a triangular number (4851 = T₉₈).

The spelling of 3887964 in words is "three million, eight hundred eighty-seven thousand, nine hundred sixty-four".