3987466560 has 336 divisors, whose sum is σ = 17100450432. Its totient is φ = 828518400.

The previous prime is 3987466531. The next prime is 3987466573. The reversal of 3987466560 is 656647893.

3987466560 is a `hidden beast` number, since 3 + 9 + 8 + 74 + 6 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 3987466497 and 3987466506.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 212770 + ... + 230750.

Almost surely, 2^3987466560 is an apocalyptic number.

3987466560 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 3987466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550225216).

3987466560 is an abundant number, since it is smaller than the sum of its proper divisors (13112983872).

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

3987466560 is a wasteful number, since it uses less digits than its factorization.

3987466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18022 (or 18009 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3987466560 is about 63146.3899205647. The cubic root of 3987466560 is about 1585.7413509590.

The spelling of 3987466560 in words is "three billion, nine hundred eighty-seven million, four hundred sixty-six thousand, five hundred sixty".