3935360 has 128 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 1290240.

The previous prime is 3935333. The next prime is 3935363. The reversal of 3935360 is 635393.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3935363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91499 + ... + 91541.

Almost surely, 2^3935360 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 3935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

3935360 is an abundant number, since it is smaller than the sum of its proper divisors (7374400).

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

3935360 is a wasteful number, since it uses less digits than its factorization.

3935360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 29.

The square root of 3935360 is about 1983.7741806970. The cubic root of 3935360 is about 157.8803773296.

The spelling of 3935360 in words is "three million, nine hundred thirty-five thousand, three hundred sixty".