3639168 has 128 divisors (see below), whose sum is σ = 11709600. Its totient is φ = 1119744.

The previous prime is 3639161. The next prime is 3639193. The reversal of 3639168 is 8619363.

It is a happy number.

3639168 is a `hidden beast` number, since 3 + 639 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (23328) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3639161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279930 + ... + 279942.

Almost surely, 2^3639168 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 3639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854800).

3639168 is an abundant number, since it is smaller than the sum of its proper divisors (8070432).

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

3639168 is an frugal number, since it uses more digits than its factorization.

3639168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 18 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3639168 is about 1907.6603471268. The cubic root of 3639168 is about 153.8157125411.

It can be divided in two parts, 36 and 39168, that added together give a square (39204 = 198²).

The spelling of 3639168 in words is "three million, six hundred thirty-nine thousand, one hundred sixty-eight".