3977884520064 has 576 divisors, whose sum is σ = 14536551524040. Its totient is φ = 1034727063552.

The previous prime is 3977884520041. The next prime is 3977884520081. The reversal of 3977884520064 is 4600254887793.

3977884520064 is a `hidden beast` number, since 39 + 7 + 78 + 8 + 4 + 520 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1526806209600 + 2451078310464 = 1235640^2 + 1565592^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3977884519983 and 3977884520010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53532024 + ... + 53606280.

Almost surely, 2^{3977884520064} 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 3977884520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268275762020).

3977884520064 is an abundant number, since it is smaller than the sum of its proper divisors (10558667003976).

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

3977884520064 is a wasteful number, since it uses less digits than its factorization.

3977884520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74377 (or 74355 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3977884520064 in words is "three trillion, nine hundred seventy-seven billion, eight hundred eighty-four million, five hundred twenty thousand, sixty-four".