38905248000 has 576 divisors, whose sum is σ = 141422561280. Its totient is φ = 9437184000.

The previous prime is 38905247963. The next prime is 38905248001. The reversal of 38905248000 is 84250983.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38905248000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38905248001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50591616 + ... + 50592384.

It is an arithmetic number, because the mean of its divisors is an integer number (245525280).

Almost surely, 2^38905248000 is an apocalyptic number.

38905248000 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 38905248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70711280640).

38905248000 is an abundant number, since it is smaller than the sum of its proper divisors (102517313280).

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

38905248000 is a wasteful number, since it uses less digits than its factorization.

38905248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 38905248000 its reverse (84250983), we get a palindrome (38989498983).

The spelling of 38905248000 in words is "thirty-eight billion, nine hundred five million, two hundred forty-eight thousand".