38582000 has 80 divisors (see below), whose sum is σ = 94708224. Its totient is φ = 15200000.

The previous prime is 38581979. The next prime is 38582003. The reversal of 38582000 is 28583.

38582000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38582003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201905 + ... + 202095.

Almost surely, 2^38582000 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 38582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47354112).

38582000 is an abundant number, since it is smaller than the sum of its proper divisors (56126224).

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

38582000 is a wasteful number, since it uses less digits than its factorization.

38582000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 38582000 is about 6211.4410566309. The cubic root of 38582000 is about 337.9052288480.

The spelling of 38582000 in words is "thirty-eight million, five hundred eighty-two thousand".