3512 has 8 divisors (see below), whose sum is σ = 6600. Its totient is φ = 1752.

The previous prime is 3511. The next prime is 3517. The reversal of 3512 is 2153.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3493 and 3502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 212 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (825).

2³⁵¹² is an apocalyptic number.

It is an amenable number.

3512 is a deficient number, since it is larger than the sum of its proper divisors (3088).

3512 is a wasteful number, since it uses less digits than its factorization.

3512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its digits is 30, while the sum is 11.

The square root of 3512 is about 59.2621295601. The cubic root of 3512 is about 15.2002770033.

Adding to 3512 its reverse (2153), we get a palindrome (5665).

It can be divided in two parts, 351 and 2, that added together give a palindrome (353).

The spelling of 3512 in words is "three thousand, five hundred twelve".