38643484275200 has 960 divisors, whose sum is σ = 112885209169920. Its totient is φ = 12838625280000.

The previous prime is 38643484275199. The next prime is 38643484275203. The reversal of 38643484275200 is 257248434683.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (38643484275203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136549414259 + ... + 136549414541.

It is an arithmetic number, because the mean of its divisors is an integer number (117588759552).

Almost surely, 2^{38643484275200} 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 38643484275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56442604584960).

38643484275200 is an abundant number, since it is smaller than the sum of its proper divisors (74241724894720).

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

38643484275200 is a wasteful number, since it uses less digits than its factorization.

38643484275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 56.

The spelling of 38643484275200 in words is "thirty-eight trillion, six hundred forty-three billion, four hundred eighty-four million, two hundred seventy-five thousand, two hundred".