3984822380160 has 1024 divisors, whose sum is σ = 15365892326400. Its totient is φ = 972006359040.

The previous prime is 3984822380137. The next prime is 3984822380191. The reversal of 3984822380160 is 610832284893.

3984822380160 is a `hidden beast` number, since 3 + 9 + 8 + 482 + 23 + 80 + 1 + 60 = 666.

3984822380160 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 3984822380097 and 3984822380106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4492471237 + ... + 4492472123.

It is an arithmetic number, because the mean of its divisors is an integer number (15005754225).

Almost surely, 2^{3984822380160} is an apocalyptic number.

3984822380160 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 3984822380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682946163200).

3984822380160 is an abundant number, since it is smaller than the sum of its proper divisors (11381069946240).

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

3984822380160 is a wasteful number, since it uses less digits than its factorization.

3984822380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3984822380160 in words is "three trillion, nine hundred eighty-four billion, eight hundred twenty-two million, three hundred eighty thousand, one hundred sixty".