3887664 has 80 divisors (see below), whose sum is σ = 11308800. Its totient is φ = 1140480.

The previous prime is 3887659. The next prime is 3887671. The reversal of 3887664 is 4667883.

It is a super-2 number, since 2×3887664² = 30227862753792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (193536) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19437 + ... + 19635.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 2^3887664 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 3887664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654400).

3887664 is an abundant number, since it is smaller than the sum of its proper divisors (7421136).

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

3887664 is a wasteful number, since it uses less digits than its factorization.

3887664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3887664 is about 1971.7160038910. The cubic root of 3887664 is about 157.2399538456.

The spelling of 3887664 in words is "three million, eight hundred eighty-seven thousand, six hundred sixty-four".