3535840 has 144 divisors (see below), whose sum is σ = 10859184. Its totient is φ = 1075200.

The previous prime is 3535817. The next prime is 3535841. The reversal of 3535840 is 485353.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3535799 and 3535808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3535841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86220 + ... + 86260.

It is an arithmetic number, because the mean of its divisors is an integer number (75411).

Almost surely, 2^3535840 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 3535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429592).

3535840 is an abundant number, since it is smaller than the sum of its proper divisors (7323344).

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

3535840 is a wasteful number, since it uses less digits than its factorization.

3535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 3535840 is about 1880.3829397227. The cubic root of 3535840 is about 152.3459341655.

It can be divided in two parts, 35 and 35840, that multiplied together give a square (1254400 = 1120²).

The spelling of 3535840 in words is "three million, five hundred thirty-five thousand, eight hundred forty".