3688401 has 16 divisors (see below), whose sum is σ = 5096448. Its totient is φ = 2371200.

The previous prime is 3688393. The next prime is 3688453. The reversal of 3688401 is 1048863.

3688401 = T₂₅₈ + T₂₅₉ + ... + T₃₃₉.

It is a happy number.

3688401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3688401 - 2³ = 3688393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3688001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19216 + ... + 19406.

It is an arithmetic number, because the mean of its divisors is an integer number (318528).

Almost surely, 2^3688401 is an apocalyptic number.

It is an amenable number.

3688401 is a deficient number, since it is larger than the sum of its proper divisors (1408047).

3688401 is a wasteful number, since it uses less digits than its factorization.

3688401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3688401 is about 1920.5210230560. The cubic root of 3688401 is about 154.5062470636.

The spelling of 3688401 in words is "three million, six hundred eighty-eight thousand, four hundred one".