3686464 has 14 divisors (see below), whose sum is σ = 7315454. Its totient is φ = 1843200.

The previous prime is 3686447. The next prime is 3686477. The reversal of 3686464 is 4646863.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 64 = 1920^2 + 8^2 .

It is a super-3 number, since 3×3686464³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable 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, 28737 + ... + 28864.

Almost surely, 2^3686464 is an apocalyptic number.

It is an amenable number.

3686464 is a deficient number, since it is larger than the sum of its proper divisors (3628990).

3686464 is an equidigital number, since it uses as much as digits as its factorization.

3686464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57613 (or 57603 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 3686464 is about 1920.0166665943. The cubic root of 3686464 is about 154.4791955034.

It can be divided in two parts, 36864 and 64, that multiplied together give a square (2359296 = 1536²).

The spelling of 3686464 in words is "three million, six hundred eighty-six thousand, four hundred sixty-four".