9938073600 has 1152 divisors, whose sum is σ = 45497088000. Its totient is φ = 2070282240.

The previous prime is 9938073581. The next prime is 9938073601. The reversal of 9938073600 is 63708399.

It is a happy number.

9938073600 is a `hidden beast` number, since 9 + 9 + 38 + 0 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938073601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125798361 + ... + 125798439.

It is an arithmetic number, because the mean of its divisors is an integer number (39494000).

Almost surely, 2^9938073600 is an apocalyptic number.

9938073600 is a gapful number since it is divisible by the number (90) 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 9938073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544000).

9938073600 is an abundant number, since it is smaller than the sum of its proper divisors (35559014400).

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

9938073600 is a wasteful number, since it uses less digits than its factorization.

9938073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9938073600 is about 99689.8871501016. The cubic root of 9938073600 is about 2149.9782655095.

The spelling of 9938073600 in words is "nine billion, nine hundred thirty-eight million, seventy-three thousand, six hundred".