38848555200 has 1344 divisors, whose sum is σ = 171580129280. Its totient is φ = 7464960000.

The previous prime is 38848555189. The next prime is 38848555201. The reversal of 38848555200 is 255584883.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×38848555200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38848555200.

It is not an unprimeable number, because it can be changed into a prime (38848555201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257275125 + ... + 257275275.

Almost surely, 2^38848555200 is an apocalyptic number.

38848555200 is a gapful number since it is divisible by the number (30) 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 38848555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85790064640).

38848555200 is an abundant number, since it is smaller than the sum of its proper divisors (132731574080).

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

38848555200 is a wasteful number, since it uses less digits than its factorization.

38848555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 38848555200 in words is "thirty-eight billion, eight hundred forty-eight million, five hundred fifty-five thousand, two hundred".