38066800 has 60 divisors (see below), whose sum is σ = 93063240. Its totient is φ = 14959360.

The previous prime is 38066779. The next prime is 38066801. The reversal of 38066800 is 866083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38066801) 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 11 ways as a sum of consecutive naturals, for example, 22794 + ... + 24406.

It is an arithmetic number, because the mean of its divisors is an integer number (1551054).

Almost surely, 2^38066800 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 38066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46531620).

38066800 is an abundant number, since it is smaller than the sum of its proper divisors (54996440).

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

38066800 is a wasteful number, since it uses less digits than its factorization.

38066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 38066800 is about 6169.8298193710. The cubic root of 38066800 is about 336.3944253199.

The spelling of 38066800 in words is "thirty-eight million, sixty-six thousand, eight hundred".