3795360 has 48 divisors (see below), whose sum is σ = 11956896. Its totient is φ = 1011968.

The previous prime is 3795347. The next prime is 3795367. The reversal of 3795360 is 635973.

3795360 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 hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3795367) by changing a digit.

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, 3474 + ... + 4433.

It is an arithmetic number, because the mean of its divisors is an integer number (249102).

Almost surely, 2^3795360 is an apocalyptic number.

3795360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3795360 is an abundant number, since it is smaller than the sum of its proper divisors (8161536).

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

3795360 is a wasteful number, since it uses less digits than its factorization.

3795360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 3795360 is about 1948.1683705471. The cubic root of 3795360 is about 155.9855344904.

The spelling of 3795360 in words is "three million, seven hundred ninety-five thousand, three hundred sixty".