3664208 has 40 divisors (see below), whose sum is σ = 7533000. Its totient is φ = 1723904.

The previous prime is 3664189. The next prime is 3664247. The reversal of 3664208 is 8024663.

It can be written as a sum of positive squares in 4 ways, for example, as 322624 + 3341584 = 568^2 + 1828^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24518 + ... + 24666.

It is an arithmetic number, because the mean of its divisors is an integer number (188325).

Almost surely, 2^3664208 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 3664208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766500).

3664208 is an abundant number, since it is smaller than the sum of its proper divisors (3868792).

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

3664208 is a wasteful number, since it uses less digits than its factorization.

3664208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3664208 is about 1914.2121094591. The cubic root of 3664208 is about 154.1676927454.

The spelling of 3664208 in words is "three million, six hundred sixty-four thousand, two hundred eight".