3500 has 24 divisors (see below), whose sum is σ = 8736. Its totient is φ = 1200.

The previous prime is 3499. The next prime is 3511. The reversal of 3500 is 53.

3500 = T₁₅ + T₁₆ + ... + T₂₈.

It is a nialpdrome in base 8.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 497 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (364).

2³⁵⁰⁰ 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 3500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368).

3500 is an abundant number, since it is smaller than the sum of its proper divisors (5236).

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

3500 is a wasteful number, since it uses less digits than its factorization.

3500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 8.

The square root of 3500 is about 59.1607978310. The cubic root of 3500 is about 15.1829448594.

Adding to 3500 its reverse (53), we get a palindrome (3553).

The spelling of 3500 in words is "three thousand, five hundred".