9438000 has 240 divisors, whose sum is σ = 36018528. Its totient is φ = 2112000.

The previous prime is 9437999. The next prime is 9438001. The reversal of 9438000 is 8349.

It is an interprime number because it is at equal distance from previous prime (9437999) and next prime (9438001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (9438001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725994 + ... + 726006.

Almost surely, 2^9438000 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 9438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264).

9438000 is an abundant number, since it is smaller than the sum of its proper divisors (26580528).

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

9438000 is a wasteful number, since it uses less digits than its factorization.

9438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 9438000 is about 3072.1328096292. The cubic root of 9438000 is about 211.3294345483.

The spelling of 9438000 in words is "nine million, four hundred thirty-eight thousand".