3873664 has 32 divisors (see below), whose sum is σ = 7876440. Its totient is φ = 1896960.

The previous prime is 3873659. The next prime is 3873677. The reversal of 3873664 is 4663783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6499 + ... + 7069.

Almost surely, 2^3873664 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 3873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938220).

3873664 is an abundant number, since it is smaller than the sum of its proper divisors (4002776).

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

3873664 is an equidigital number, since it uses as much as digits as its factorization.

3873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 626 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 3873664 is about 1968.1625949093. The cubic root of 3873664 is about 157.0509794283.

The spelling of 3873664 in words is "three million, eight hundred seventy-three thousand, six hundred sixty-four".