38808000 has 504 divisors, whose sum is σ = 176168304. Its totient is φ = 8064000.

The previous prime is 38807999. The next prime is 38808019. The reversal of 38808000 is 80883.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527995 + ... + 3528005.

Almost surely, 2^38808000 is an apocalyptic number.

38808000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88084152).

38808000 is an abundant number, since it is smaller than the sum of its proper divisors (137360304).

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

38808000 is a wasteful number, since it uses less digits than its factorization.

38808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38808000 is about 6229.6067291604. The cubic root of 38808000 is about 338.5637220608.

Adding to 38808000 its reverse (80883), we get a palindrome (38888883).

The spelling of 38808000 in words is "thirty-eight million, eight hundred eight thousand".