3464 has 8 divisors (see below), whose sum is σ = 6510. Its totient is φ = 1728.

The previous prime is 3463. The next prime is 3467. The reversal of 3464 is 4643.

It can be written as a sum of positive squares in only one way, i.e., 3364 + 100 = 58^2 + 10^2 .

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

It is a plaindrome in base 9 and base 11.

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461) by changing a digit.

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, 209 + ... + 224.

It is an amenable number.

3464 is a deficient number, since it is larger than the sum of its proper divisors (3046).

3464 is a wasteful number, since it uses less digits than its factorization.

3464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 3464 is about 58.8557558782. The cubic root of 3464 is about 15.1307095445.

Adding to 3464 its sum of digits (17), we get a square (3481 = 59²).

The spelling of 3464 in words is "three thousand, four hundred sixty-four".