3987477585 has 256 divisors, whose sum is σ = 9419397120. Its totient is φ = 1552711680.

The previous prime is 3987477577. The next prime is 3987477587. The reversal of 3987477585 is 5857747893.

3987477585 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 47 + 7 + 585 = 666.

It is not a de Polignac number, because 3987477585 - 2³ = 3987477577 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3987477587) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12739389 + ... + 12739701.

It is an arithmetic number, because the mean of its divisors is an integer number (36794520).

Almost surely, 2^3987477585 is an apocalyptic number.

3987477585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3987477585 is an abundant number, since it is smaller than the sum of its proper divisors (5431919535).

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

3987477585 is a wasteful number, since it uses less digits than its factorization.

3987477585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The square root of 3987477585 is about 63146.4772176564. The cubic root of 3987477585 is about 1585.7428124368.

The spelling of 3987477585 in words is "three billion, nine hundred eighty-seven million, four hundred seventy-seven thousand, five hundred eighty-five".