3688413 has 8 divisors (see below), whose sum is σ = 5176800. Its totient is φ = 2329488.

The previous prime is 3688393. The next prime is 3688453. The reversal of 3688413 is 3148863.

3688413 is nontrivially palindromic in base 9.

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

It is not a de Polignac number, because 3688413 - 2¹⁴ = 3672029 is a prime.

3688413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32298 + ... + 32411.

It is an arithmetic number, because the mean of its divisors is an integer number (647100).

Almost surely, 2^3688413 is an apocalyptic number.

It is an amenable number.

3688413 is a deficient number, since it is larger than the sum of its proper divisors (1488387).

3688413 is a wasteful number, since it uses less digits than its factorization.

3688413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64731.

The product of its digits is 13824, while the sum is 33.

The square root of 3688413 is about 1920.5241472057. The cubic root of 3688413 is about 154.5064146225.

The spelling of 3688413 in words is "three million, six hundred eighty-eight thousand, four hundred thirteen".