3987965664 has 120 divisors (see below), whose sum is σ = 11750092200. Its totient is φ = 1326875904.

The previous prime is 3987965633. The next prime is 3987965671. The reversal of 3987965664 is 4665697893.

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 19 ways as a sum of consecutive naturals, for example, 1898887 + ... + 1900985.

It is an arithmetic number, because the mean of its divisors is an integer number (97917435).

Almost surely, 2^3987965664 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 3987965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875046100).

3987965664 is an abundant number, since it is smaller than the sum of its proper divisors (7762126536).

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

3987965664 is a wasteful number, since it uses less digits than its factorization.

3987965664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2837 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The square root of 3987965664 is about 63150.3417567950. The cubic root of 3987965664 is about 1585.8075096607.

The spelling of 3987965664 in words is "three billion, nine hundred eighty-seven million, nine hundred sixty-five thousand, six hundred sixty-four".