3821664 has 144 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 971520.

The previous prime is 3821647. The next prime is 3821669. The reversal of 3821664 is 4661283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3821669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81289 + ... + 81335.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

Almost surely, 2^3821664 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 3821664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

3821664 is an abundant number, since it is smaller than the sum of its proper divisors (9048480).

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

3821664 is a wasteful number, since it uses less digits than its factorization.

3821664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3821664 is about 1954.9076704540. The cubic root of 3821664 is about 156.3450613004.

The spelling of 3821664 in words is "three million, eight hundred twenty-one thousand, six hundred sixty-four".