38793006 has 96 divisors (see below), whose sum is σ = 102080160. Its totient is φ = 11022480.

The previous prime is 38792977. The next prime is 38793049. The reversal of 38793006 is 60039783.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214236 + ... + 214416.

It is an arithmetic number, because the mean of its divisors is an integer number (1063335).

Almost surely, 2^38793006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38793006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51040080).

38793006 is an abundant number, since it is smaller than the sum of its proper divisors (63287154).

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

38793006 is an equidigital number, since it uses as much as digits as its factorization.

38793006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 38793006 is about 6228.4031661414. The cubic root of 38793006 is about 338.5201135405.

The spelling of 38793006 in words is "thirty-eight million, seven hundred ninety-three thousand, six".