3881664 has 84 divisors (see below), whose sum is σ = 11649456. Its totient is φ = 1233408.

The previous prime is 3881659. The next prime is 3881671. The reversal of 3881664 is 4661883.

It is a happy number.

3881664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13102 + ... + 13394.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

Almost surely, 2^3881664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824728).

3881664 is an abundant number, since it is smaller than the sum of its proper divisors (7767792).

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

3881664 is a wasteful number, since it uses less digits than its factorization.

3881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3881664 is about 1970.1938990871. The cubic root of 3881664 is about 157.1590204547.

The spelling of 3881664 in words is "three million, eight hundred eighty-one thousand, six hundred sixty-four".