38793809882880 has 2016 divisors, whose sum is σ = 167242161119040. Its totient is φ = 8513637580800.

The previous prime is 38793809882851. The next prime is 38793809882887. The reversal of 38793809882880 is 8828890839783.

It is a happy number.

38793809882880 is a `hidden beast` number, since 3 + 8 + 79 + 380 + 98 + 8 + 2 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 38793809882880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38793809882887) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3918165930 + ... + 3918175830.

It is an arithmetic number, because the mean of its divisors is an integer number (82957421190).

Almost surely, 2^{38793809882880} is an apocalyptic number.

38793809882880 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 38793809882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83621080559520).

38793809882880 is an abundant number, since it is smaller than the sum of its proper divisors (128448351236160).

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

38793809882880 is a wasteful number, since it uses less digits than its factorization.

38793809882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 2675441664, while the sum is 81.

The spelling of 38793809882880 in words is "thirty-eight trillion, seven hundred ninety-three billion, eight hundred nine million, eight hundred eighty-two thousand, eight hundred eighty".