3536144 has 20 divisors (see below), whose sum is σ = 7088460. Its totient is φ = 1706880.

The previous prime is 3536131. The next prime is 3536161. The reversal of 3536144 is 4416353.

3536144 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 2 ways, for example, as 2560000 + 976144 = 1600^2 + 988^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3347 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (354423).

Almost surely, 2^3536144 is an apocalyptic number.

It is an amenable number.

3536144 is an abundant number, since it is smaller than the sum of its proper divisors (3552316).

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

3536144 is a wasteful number, since it uses less digits than its factorization.

3536144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7652 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 3536144 is about 1880.4637725838. The cubic root of 3536144 is about 152.3503001093.

The spelling of 3536144 in words is "three million, five hundred thirty-six thousand, one hundred forty-four".