38808900 has 216 divisors, whose sum is σ = 136491264. Its totient is φ = 9158400.

The previous prime is 38808883. The next prime is 38808901. The reversal of 38808900 is 980883.

It is a super-2 number, since 2×38808900² = 3012261438420000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38808901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 362647 + ... + 362753.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^38808900 is an apocalyptic number.

38808900 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 38808900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

38808900 is an abundant number, since it is smaller than the sum of its proper divisors (97682364).

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

38808900 is a wasteful number, since it uses less digits than its factorization.

38808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 38808900 is about 6229.6789644411. The cubic root of 38808900 is about 338.5663392617.

The spelling of 38808900 in words is "thirty-eight million, eight hundred eight thousand, nine hundred".