38966765644800 has 1980 divisors, whose sum is σ = 170625518848224. Its totient is φ = 8759284531200.

The previous prime is 38966765644759. The next prime is 38966765644801. The reversal of 38966765644800 is 844656766983.

38966765644800 is a `hidden beast` number, since 3 + 8 + 9 + 66 + 76 + 56 + 448 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38966765644801) 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 179 ways as a sum of consecutive naturals, for example, 6197987257 + ... + 6197993543.

Almost surely, 2^{38966765644800} is an apocalyptic number.

38966765644800 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 38966765644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85312759424112).

38966765644800 is an abundant number, since it is smaller than the sum of its proper divisors (131658753203424).

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

38966765644800 is a wasteful number, since it uses less digits than its factorization.

38966765644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 38966765644800 in words is "thirty-eight trillion, nine hundred sixty-six billion, seven hundred sixty-five million, six hundred forty-four thousand, eight hundred".