3935160 has 96 divisors (see below), whose sum is σ = 13562640. Its totient is φ = 986112.

The previous prime is 3935153. The next prime is 3935161. The reversal of 3935160 is 615393.

3935160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3935161) 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 23 ways as a sum of consecutive naturals, for example, 5799 + ... + 6441.

Almost surely, 2^3935160 is an apocalyptic number.

3935160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3935160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781320).

3935160 is an abundant number, since it is smaller than the sum of its proper divisors (9627480).

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

3935160 is a wasteful number, since it uses less digits than its factorization.

3935160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3935160 is about 1983.7237710931. The cubic root of 3935160 is about 157.8777027238.

It can be divided in two parts, 3935 and 160, that added together give a triangular number (4095 = T₉₀).

The spelling of 3935160 in words is "three million, nine hundred thirty-five thousand, one hundred sixty".