9938100 has 72 divisors (see below), whose sum is σ = 29074528. Its totient is φ = 2620800.

The previous prime is 9938069. The next prime is 9938107. The reversal of 9938100 is 18399.

It is a happy number.

9938100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9938100³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46995 + ... + 47205.

Almost surely, 2^9938100 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 9938100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537264).

9938100 is an abundant number, since it is smaller than the sum of its proper divisors (19136428).

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

9938100 is a wasteful number, since it uses less digits than its factorization.

9938100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 9938100 is about 3152.4752179835. The cubic root of 9938100 is about 214.9980169278.

The spelling of 9938100 in words is "nine million, nine hundred thirty-eight thousand, one hundred".