3823664 has 40 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 1704960.

The previous prime is 3823661. The next prime is 3823697. The reversal of 3823664 is 4663283.

It is a d-powerful number, because it can be written as 3⁴ + 8⁷ + 2¹⁷ + 3¹³ + 6 + 6 + 4⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 3823664.

It is not an unprimeable number, because it can be changed into a prime (3823661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6152 + ... + 6744.

Almost surely, 2^3823664 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 3823664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

3823664 is an abundant number, since it is smaller than the sum of its proper divisors (4425808).

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

3823664 is a wasteful number, since it uses less digits than its factorization.

3823664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 3823664 is about 1955.4191366559. The cubic root of 3823664 is about 156.3723300147.

The spelling of 3823664 in words is "three million, eight hundred twenty-three thousand, six hundred sixty-four".