38404000 has 48 divisors (see below), whose sum is σ = 94368456. Its totient is φ = 15360000.

The previous prime is 38403991. The next prime is 38404013. The reversal of 38404000 is 40483.

It can be written as a sum of positive squares in 4 ways, for example, as 16613776 + 21790224 = 4076^2 + 4668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801 + ... + 8800.

Almost surely, 2^38404000 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 38404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47184228).

38404000 is an abundant number, since it is smaller than the sum of its proper divisors (55964456).

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

38404000 is an equidigital number, since it uses as much as digits as its factorization.

38404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9626 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 38404000 is about 6197.0960941396. The cubic root of 38404000 is about 337.3847800565.

Adding to 38404000 its reverse (40483), we get a palindrome (38444483).

The spelling of 38404000 in words is "thirty-eight million, four hundred four thousand".