38425869187200 has 576 divisors, whose sum is σ = 149724823248000. Its totient is φ = 9306160128000.

The previous prime is 38425869187163. The next prime is 38425869187259. The reversal of 38425869187200 is 278196852483.

38425869187200 is a `hidden beast` number, since 3 + 8 + 42 + 586 + 9 + 1 + 8 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323393401 + ... + 323512199.

It is an arithmetic number, because the mean of its divisors is an integer number (259938929250).

It is a 1-persistent number, because it is pandigital, but 2⋅38425869187200 = 76851738374400 is not.

Almost surely, 2^{38425869187200} is an apocalyptic number.

38425869187200 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 38425869187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74862411624000).

38425869187200 is an abundant number, since it is smaller than the sum of its proper divisors (111298954060800).

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

38425869187200 is a wasteful number, since it uses less digits than its factorization.

38425869187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119861 (or 119841 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 38425869187200 in words is "thirty-eight trillion, four hundred twenty-five billion, eight hundred sixty-nine million, one hundred eighty-seven thousand, two hundred".