3987529409664 has 224 divisors, whose sum is σ = 12053933211600. Its totient is φ = 1313159745024.

The previous prime is 3987529409663. The next prime is 3987529409681. The reversal of 3987529409664 is 4669049257893.

3987529409664 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 529 + 4 + 0 + 96 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3987529409592 and 3987529409601.

It is not an unprimeable number, because it can be changed into a prime (3987529409663) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7487467 + ... + 8002325.

Almost surely, 2^{3987529409664} 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 3987529409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026966605800).

3987529409664 is an abundant number, since it is smaller than the sum of its proper divisors (8066403801936).

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

3987529409664 is an frugal number, since it uses more digits than its factorization.

3987529409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514974 (or 514947 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 3987529409664 in words is "three trillion, nine hundred eighty-seven billion, five hundred twenty-nine million, four hundred nine thousand, six hundred sixty-four".