3537168 has 40 divisors (see below), whose sum is σ = 9300000. Its totient is φ = 1158144.

The previous prime is 3537161. The next prime is 3537169. The reversal of 3537168 is 8617353.

It is a happy number.

3537168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3537161) 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, 2208 + ... + 3456.

It is an arithmetic number, because the mean of its divisors is an integer number (232500).

Almost surely, 2^3537168 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 3537168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650000).

3537168 is an abundant number, since it is smaller than the sum of its proper divisors (5762832).

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

3537168 is a wasteful number, since it uses less digits than its factorization.

3537168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 3537168 is about 1880.7360261344. The cubic root of 3537168 is about 152.3650046058.

The spelling of 3537168 in words is "three million, five hundred thirty-seven thousand, one hundred sixty-eight".