8038404 has 72 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 2383680.

The previous prime is 8038379. The next prime is 8038409. The reversal of 8038404 is 4048308.

It is not an unprimeable number, because it can be changed into a prime (8038409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20797 + ... + 21179.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 2^8038404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8038404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856).

8038404 is an abundant number, since it is smaller than the sum of its proper divisors (14605308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8038404 is a wasteful number, since it uses less digits than its factorization.

8038404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8038404 is about 2835.2079288828. The cubic root of 8038404 is about 200.3195225881.

The spelling of 8038404 in words is "eight million, thirty-eight thousand, four hundred four".