9438108000 has 384 divisors, whose sum is σ = 32894709120. Its totient is φ = 2361139200.

The previous prime is 9438107951. The next prime is 9438108049. The reversal of 9438108000 is 8018349.

It is an interprime number because it is at equal distance from previous prime (9438107951) and next prime (9438108049).

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 63 ways as a sum of consecutive naturals, for example, 12875634 + ... + 12876366.

It is an arithmetic number, because the mean of its divisors is an integer number (85663305).

Almost surely, 2^9438108000 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 9438108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447354560).

9438108000 is an abundant number, since it is smaller than the sum of its proper divisors (23456601120).

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

9438108000 is a wasteful number, since it uses less digits than its factorization.

9438108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 9438108000 is about 97149.9253731057. The cubic root of 9438108000 is about 2113.3024063338.

The spelling of 9438108000 in words is "nine billion, four hundred thirty-eight million, one hundred eight thousand".