3507 has 8 divisors (see below), whose sum is σ = 5376. Its totient is φ = 1992.

The previous prime is 3499. The next prime is 3511. The reversal of 3507 is 7053.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3507 - 2³ = 3499 is a prime.

3507 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 104.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

2³⁵⁰⁷ is an apocalyptic number.

3507 is a deficient number, since it is larger than the sum of its proper divisors (1869).

3507 is a wasteful number, since it uses less digits than its factorization.

3507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 3507 is about 59.2199290780. The cubic root of 3507 is about 15.1930600821.

It can be divided in two parts, 3 and 507, that multiplied together give a square (1521 = 39²).

The spelling of 3507 in words is "three thousand, five hundred seven".