3987014895864 has 2304 divisors, whose sum is σ = 16859658816000. Its totient is φ = 831059066880.

The previous prime is 3987014895781. The next prime is 3987014895887. The reversal of 3987014895864 is 4685984107893.

3987014895864 is a `hidden beast` number, since 3 + 9 + 87 + 0 + 1 + 489 + 5 + 8 + 64 = 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 = 3987014895792 and 3987014895801.

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 7007055772 + ... + 7007056340.

It is an arithmetic number, because the mean of its divisors is an integer number (7317560250).

Almost surely, 2^{3987014895864} is an apocalyptic number.

3987014895864 is a gapful number since it is divisible by the number (34) 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 3987014895864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429829408000).

3987014895864 is an abundant number, since it is smaller than the sum of its proper divisors (12872643920136).

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

3987014895864 is a wasteful number, since it uses less digits than its factorization.

3987014895864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 3987014895864 in words is "three trillion, nine hundred eighty-seven billion, fourteen million, eight hundred ninety-five thousand, eight hundred sixty-four".