38880752166200 has 192 divisors, whose sum is σ = 109521199837440. Its totient is φ = 12531216660480.

The previous prime is 38880752166187. The next prime is 38880752166209. The reversal of 38880752166200 is 266125708883.

It is a happy number.

38880752166200 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 (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38880752166209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18694907 + ... + 20670293.

It is an arithmetic number, because the mean of its divisors is an integer number (570422915820).

Almost surely, 2^{38880752166200} 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 38880752166200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54760599918720).

38880752166200 is an abundant number, since it is smaller than the sum of its proper divisors (70640447671240).

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

38880752166200 is a wasteful number, since it uses less digits than its factorization.

38880752166200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976254 (or 1976245 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 38880752166200 in words is "thirty-eight trillion, eight hundred eighty billion, seven hundred fifty-two million, one hundred sixty-six thousand, two hundred".