38041000 has 64 divisors (see below), whose sum is σ = 90090000. Its totient is φ = 15033600.

The previous prime is 38040991. The next prime is 38041007. The reversal of 38041000 is 14083.

It can be written as a sum of positive squares in 8 ways, for example, as 5846724 + 32194276 = 2418^2 + 5674^2 .

It is not an unprimeable number, because it can be changed into a prime (38041007) 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, 108826 + ... + 109174.

Almost surely, 2^38041000 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 38041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045000).

38041000 is an abundant number, since it is smaller than the sum of its proper divisors (52049000).

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

38041000 is a wasteful number, since it uses less digits than its factorization.

38041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 38041000 is about 6167.7386455653. The cubic root of 38041000 is about 336.3184103702.

Adding to 38041000 its reverse (14083), we get a palindrome (38055083).

The spelling of 38041000 in words is "thirty-eight million, forty-one thousand".