38635225200 has 1080 divisors, whose sum is σ = 165924630144. Its totient is φ = 8236800000.

The previous prime is 38635225193. The next prime is 38635225201. The reversal of 38635225200 is 252253683.

38635225200 is a `hidden beast` number, since 3 + 86 + 3 + 52 + 2 + 520 + 0 = 666.

38635225200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38635225201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 153925075 + ... + 153925325.

Almost surely, 2^38635225200 is an apocalyptic number.

38635225200 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 38635225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82962315072).

38635225200 is an abundant number, since it is smaller than the sum of its proper divisors (127289404944).

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

38635225200 is a wasteful number, since it uses less digits than its factorization.

38635225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 38635225200 its reverse (252253683), we get a palindrome (38887478883).

The spelling of 38635225200 in words is "thirty-eight billion, six hundred thirty-five million, two hundred twenty-five thousand, two hundred".