3595840 has 56 divisors (see below), whose sum is σ = 9079992. Its totient is φ = 1351680.

The previous prime is 3595811. The next prime is 3595847. The reversal of 3595840 is 485953.

3595840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 2359296 = 1112^2 + 1536^2 .

It is a super-3 number, since 3×3595840³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3595796 and 3595805.

It is not an unprimeable number, because it can be changed into a prime (3595847) 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, 5110 + ... + 5770.

Almost surely, 2^3595840 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 3595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539996).

3595840 is an abundant number, since it is smaller than the sum of its proper divisors (5484152).

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

3595840 is a wasteful number, since it uses less digits than its factorization.

3595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 3595840 is about 1896.2700229661. The cubic root of 3595840 is about 153.2028295169.

The spelling of 3595840 in words is "three million, five hundred ninety-five thousand, eight hundred forty".