38282200704 has 192 divisors, whose sum is σ = 121173698880. Its totient is φ = 11600202240.

The previous prime is 38282200679. The next prime is 38282200709. The reversal of 38282200704 is 40700228283.

38282200704 is a `hidden beast` number, since 382 + 8 + 2 + 200 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38282200709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1520829 + ... + 1545795.

It is an arithmetic number, because the mean of its divisors is an integer number (631113015).

Almost surely, 2^38282200704 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 38282200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60586849440).

38282200704 is an abundant number, since it is smaller than the sum of its proper divisors (82891498176).

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

38282200704 is a wasteful number, since it uses less digits than its factorization.

38282200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25020 (or 24983 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 38282200704 its reverse (40700228283), we get a palindrome (78982428987).

The spelling of 38282200704 in words is "thirty-eight billion, two hundred eighty-two million, two hundred thousand, seven hundred four".