3536784 has 50 divisors (see below), whose sum is σ = 10240230. Its totient is φ = 1178496.

The previous prime is 3536749. The next prime is 3536789. The reversal of 3536784 is 4876353.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 32400 = 1872^2 + 180^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3536789) 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 9 ways as a sum of consecutive naturals, for example, 69 + ... + 2660.

Almost surely, 2^3536784 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 3536784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120115).

3536784 is an abundant number, since it is smaller than the sum of its proper divisors (6703446).

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

3536784 is a wasteful number, since it uses less digits than its factorization.

3536784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2734 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3536784 is about 1880.6339356717. The cubic root of 3536784 is about 152.3594907522.

The spelling of 3536784 in words is "three million, five hundred thirty-six thousand, seven hundred eighty-four".