9938678400 has 384 divisors, whose sum is σ = 41571446400. Its totient is φ = 2271559680.

The previous prime is 9938678389. The next prime is 9938678411. The reversal of 9938678400 is 48768399.

9938678400 is a `hidden beast` number, since 9 + 93 + 86 + 78 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (9938678389) and next prime (9938678411).

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 (54).

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, 596584 + ... + 613016.

It is an arithmetic number, because the mean of its divisors is an integer number (108258975).

Almost surely, 2^9938678400 is an apocalyptic number.

9938678400 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 9938678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785723200).

9938678400 is an abundant number, since it is smaller than the sum of its proper divisors (31632768000).

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

9938678400 is a wasteful number, since it uses less digits than its factorization.

9938678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16473 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9938678400 is about 99692.9205109370. The cubic root of 9938678400 is about 2150.0218782702.

The spelling of 9938678400 in words is "nine billion, nine hundred thirty-eight million, six hundred seventy-eight thousand, four hundred".