3662208 has 144 divisors (see below), whose sum is σ = 12212460. Its totient is φ = 1044480.

The previous prime is 3662201. The next prime is 3662213. The reversal of 3662208 is 8022663.

3662208 is a `hidden beast` number, since 36 + 622 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 215416 + ... + 215432.

Almost surely, 2^3662208 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 3662208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106230).

3662208 is an abundant number, since it is smaller than the sum of its proper divisors (8550252).

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

3662208 is a wasteful number, since it uses less digits than its factorization.

3662208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3662208 is about 1913.6896300080. The cubic root of 3662208 is about 154.1396383426.

The spelling of 3662208 in words is "three million, six hundred sixty-two thousand, two hundred eight".