38325607383600 has 720 divisors, whose sum is σ = 144145601233920. Its totient is φ = 9406846310400.

The previous prime is 38325607383551. The next prime is 38325607383619. The reversal of 38325607383600 is 638370652383.

38325607383600 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 560 + 73 + 8 + 3 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 216750427 + ... + 216927173.

It is an arithmetic number, because the mean of its divisors is an integer number (200202223936).

Almost surely, 2^{38325607383600} is an apocalyptic number.

38325607383600 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 38325607383600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72072800616960).

38325607383600 is an abundant number, since it is smaller than the sum of its proper divisors (105819993850320).

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

38325607383600 is a wasteful number, since it uses less digits than its factorization.

38325607383600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176898 (or 176884 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 38325607383600 in words is "thirty-eight trillion, three hundred twenty-five billion, six hundred seven million, three hundred eighty-three thousand, six hundred".