38598000 has 160 divisors (see below), whose sum is σ = 142371840. Its totient is φ = 8812800.

The previous prime is 38597989. The next prime is 38598031. The reversal of 38598000 is 89583.

38598000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41541 + ... + 42459.

It is an arithmetic number, because the mean of its divisors is an integer number (889824).

Almost surely, 2^38598000 is an apocalyptic number.

38598000 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 38598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71185920).

38598000 is an abundant number, since it is smaller than the sum of its proper divisors (103773840).

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

38598000 is a wasteful number, since it uses less digits than its factorization.

38598000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 38598000 is about 6212.7288690237. The cubic root of 38598000 is about 337.9519322890.

The spelling of 38598000 in words is "thirty-eight million, five hundred ninety-eight thousand".