3838401 has 32 divisors (see below), whose sum is σ = 6789120. Its totient is φ = 2095632.

The previous prime is 3838397. The next prime is 3838409. The reversal of 3838401 is 1048383.

It is not a de Polignac number, because 3838401 - 2² = 3838397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3838409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3906 + ... + 4788.

It is an arithmetic number, because the mean of its divisors is an integer number (212160).

Almost surely, 2^3838401 is an apocalyptic number.

It is an amenable number.

3838401 is a deficient number, since it is larger than the sum of its proper divisors (2950719).

3838401 is a wasteful number, since it uses less digits than its factorization.

3838401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3838401 is about 1959.1837586097. The cubic root of 3838401 is about 156.5729669577.

The spelling of 3838401 in words is "three million, eight hundred thirty-eight thousand, four hundred one".