3987478656 has 576 divisors, whose sum is σ = 14654952000. Its totient is φ = 1017741312.

The previous prime is 3987478631. The next prime is 3987478667. The reversal of 3987478656 is 6568747893.

3987478656 is a `hidden beast` number, since 39 + 87 + 478 + 6 + 56 = 666.

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 = 3987478593 and 3987478602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67584355 + ... + 67584413.

It is an arithmetic number, because the mean of its divisors is an integer number (25442625).

Almost surely, 2^3987478656 is an apocalyptic number.

3987478656 is a gapful number since it is divisible by the number (36) 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 3987478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327476000).

3987478656 is an abundant number, since it is smaller than the sum of its proper divisors (10667473344).

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

3987478656 is a wasteful number, since it uses less digits than its factorization.

3987478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 3987478656 is about 63146.4856979389. The cubic root of 3987478656 is about 1585.7429544088.

The spelling of 3987478656 in words is "three billion, nine hundred eighty-seven million, four hundred seventy-eight thousand, six hundred fifty-six".