3795168 has 48 divisors (see below), whose sum is σ = 10732176. Its totient is φ = 1167360.

The previous prime is 3795157. The next prime is 3795221. The reversal of 3795168 is 8615973.

3795168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273 + ... + 2768.

It is an arithmetic number, because the mean of its divisors is an integer number (223587).

Almost surely, 2^3795168 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 3795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366088).

3795168 is an abundant number, since it is smaller than the sum of its proper divisors (6937008).

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

3795168 is a wasteful number, since it uses less digits than its factorization.

3795168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3059 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 3795168 is about 1948.1190928688. The cubic root of 3795168 is about 155.9829041095.

The spelling of 3795168 in words is "three million, seven hundred ninety-five thousand, one hundred sixty-eight".