3488 has 12 divisors (see below), whose sum is σ = 6930. Its totient is φ = 1728.

The previous prime is 3469. The next prime is 3491. The reversal of 3488 is 8843.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 784 = 52^2 + 28^2 .

It is a super-2 number, since 2×3488² = 24332288, which contains 22 as substring.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

3488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23 + ... + 86.

2³⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

3488 is a deficient number, since it is larger than the sum of its proper divisors (3442).

3488 is a wasteful number, since it uses less digits than its factorization.

3488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 3488 is about 59.0592922409. The cubic root of 3488 is about 15.1655730538.

It can be divided in two parts, 34 and 88, that multiplied together give a palindrome (2992).

The spelling of 3488 in words is "three thousand, four hundred eighty-eight".