3513744 has 60 divisors (see below), whose sum is σ = 10595676. Its totient is φ = 1080576.

The previous prime is 3513739. The next prime is 3513761. The reversal of 3513744 is 4473153.

3513744 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 1299600 + 2214144 = 1140^2 + 1488^2 .

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 11 ways as a sum of consecutive naturals, for example, 934 + ... + 2810.

Almost surely, 2^3513744 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 3513744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297838).

3513744 is an abundant number, since it is smaller than the sum of its proper divisors (7081932).

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

3513744 is a wasteful number, since it uses less digits than its factorization.

3513744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1895 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 3513744 is about 1874.4983328880. The cubic root of 3513744 is about 152.0279265401.

Adding to 3513744 its reverse (4473153), we get a palindrome (7986897).

It can be divided in two parts, 351 and 3744, that added together give a triangular number (4095 = T₉₀).

The spelling of 3513744 in words is "three million, five hundred thirteen thousand, seven hundred forty-four".