3998664 has 96 divisors (see below), whose sum is σ = 11856000. Its totient is φ = 1213056.

The previous prime is 3998653. The next prime is 3998669. The reversal of 3998664 is 4668993.

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

It is not an unprimeable number, because it can be changed into a prime (3998669) 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, 50577 + ... + 50655.

It is an arithmetic number, because the mean of its divisors is an integer number (123500).

Almost surely, 2^3998664 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 3998664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928000).

3998664 is an abundant number, since it is smaller than the sum of its proper divisors (7857336).

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

3998664 is a wasteful number, since it uses less digits than its factorization.

3998664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3998664 is about 1999.6659721063. The cubic root of 3998664 is about 158.7224301638.

It can be divided in two parts, 3 and 998664, that multiplied together give a palindrome (2995992).

The spelling of 3998664 in words is "three million, nine hundred ninety-eight thousand, six hundred sixty-four".