9938332800 has 384 divisors, whose sum is σ = 39681835200. Its totient is φ = 2409062400.

The previous prime is 9938332727. The next prime is 9938332813. The reversal of 9938332800 is 82338399.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945172 + ... + 955628.

Almost surely, 2^9938332800 is an apocalyptic number.

9938332800 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 9938332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840917600).

9938332800 is an abundant number, since it is smaller than the sum of its proper divisors (29743502400).

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

9938332800 is a wasteful number, since it uses less digits than its factorization.

9938332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9938332800 is about 99691.1871731900. The cubic root of 9938332800 is about 2149.9969569093.

The spelling of 9938332800 in words is "nine billion, nine hundred thirty-eight million, three hundred thirty-two thousand, eight hundred".