3536896 has 48 divisors (see below), whose sum is σ = 7764120. Its totient is φ = 1597440.

The previous prime is 3536881. The next prime is 3536899. The reversal of 3536896 is 6986353.

It is a d-powerful number, because it can be written as 3¹⁰ + 5 + 3¹⁰ + 6⁸ + 8³ + 9⁵ + 6⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22450 + ... + 22606.

Almost surely, 2^3536896 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 3536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882060).

3536896 is an abundant number, since it is smaller than the sum of its proper divisors (4227224).

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

3536896 is a wasteful number, since it uses less digits than its factorization.

3536896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The square root of 3536896 is about 1880.6637126291. The cubic root of 3536896 is about 152.3610990008.

The spelling of 3536896 in words is "three million, five hundred thirty-six thousand, eight hundred ninety-six".