3977483822304 has 96 divisors (see below), whose sum is σ = 10697395113216. Its totient is φ = 1293267655680.

The previous prime is 3977483822303. The next prime is 3977483822311. The reversal of 3977483822304 is 4032283847793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977483822303) 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 15 ways as a sum of consecutive naturals, for example, 23559439 + ... + 23727665.

It is an arithmetic number, because the mean of its divisors is an integer number (111431199096).

Almost surely, 2^{3977483822304} 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 3977483822304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348697556608).

3977483822304 is an abundant number, since it is smaller than the sum of its proper divisors (6719911290912).

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

3977483822304 is a wasteful number, since it uses less digits than its factorization.

3977483822304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174288 (or 174280 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 3977483822304 in words is "three trillion, nine hundred seventy-seven billion, four hundred eighty-three million, eight hundred twenty-two thousand, three hundred four".