3657168 has 60 divisors (see below), whose sum is σ = 10373220. Its totient is φ = 1202688.

The previous prime is 3657167. The next prime is 3657169. The reversal of 3657168 is 8617563.

It is an interprime number because it is at equal distance from previous prime (3657167) and next prime (3657169).

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 2039184 = 1272^2 + 1428^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15580 + ... + 15812.

It is an arithmetic number, because the mean of its divisors is an integer number (172887).

Almost surely, 2^3657168 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 3657168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186610).

3657168 is an abundant number, since it is smaller than the sum of its proper divisors (6716052).

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

3657168 is a wasteful number, since it uses less digits than its factorization.

3657168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3657168 is about 1912.3723486811. The cubic root of 3657168 is about 154.0688959173.

The spelling of 3657168 in words is "three million, six hundred fifty-seven thousand, one hundred sixty-eight".