3795520 has 56 divisors (see below), whose sum is σ = 9372600. Its totient is φ = 1462272.

The previous prime is 3795511. The next prime is 3795521. The reversal of 3795520 is 255973.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 2663424 = 1064^2 + 1632^2 .

It is a hoax number, since the sum of its digits (31) 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 (3795521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9076 + ... + 9484.

Almost surely, 2^3795520 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 3795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686300).

3795520 is an abundant number, since it is smaller than the sum of its proper divisors (5577080).

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

3795520 is a wasteful number, since it uses less digits than its factorization.

3795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 3795520 is about 1948.2094343268. The cubic root of 3795520 is about 155.9877264067.

The spelling of 3795520 in words is "three million, seven hundred ninety-five thousand, five hundred twenty".