3675168 has 72 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 1049472.

The previous prime is 3675149. The next prime is 3675181. The reversal of 3675168 is 8615763.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1105 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 2^3675168 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 3675168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

3675168 is an abundant number, since it is smaller than the sum of its proper divisors (8275680).

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

3675168 is a wasteful number, since it uses less digits than its factorization.

3675168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1835 counting only the distinct ones).

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

The square root of 3675168 is about 1917.0727685719. The cubic root of 3675168 is about 154.3212498982.

The spelling of 3675168 in words is "three million, six hundred seventy-five thousand, one hundred sixty-eight".