38325760955200 has 336 divisors, whose sum is σ = 98185034495680. Its totient is φ = 14712606720000.

The previous prime is 38325760955177. The next prime is 38325760955203. The reversal of 38325760955200 is 255906752383.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38325760955203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410832456 + ... + 4410841144.

Almost surely, 2^{38325760955200} 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 38325760955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49092517247840).

38325760955200 is an abundant number, since it is smaller than the sum of its proper divisors (59859273540480).

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

38325760955200 is a wasteful number, since it uses less digits than its factorization.

38325760955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 38325760955200 in words is "thirty-eight trillion, three hundred twenty-five billion, seven hundred sixty million, nine hundred fifty-five thousand, two hundred".