3987688320 has 1024 divisors, whose sum is σ = 18307123200. Its totient is φ = 806215680.

The previous prime is 3987688303. The next prime is 3987688337. The reversal of 3987688320 is 238867893.

It is an interprime number because it is at equal distance from previous prime (3987688303) and next prime (3987688337).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 107775342 + ... + 107775378.

It is an arithmetic number, because the mean of its divisors is an integer number (17878050).

Almost surely, 2^3987688320 is an apocalyptic number.

3987688320 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 3987688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153561600).

3987688320 is an abundant number, since it is smaller than the sum of its proper divisors (14319434880).

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

3987688320 is an equidigital number, since it uses as much as digits as its factorization.

3987688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3987688320 is about 63148.1458160095. The cubic root of 3987688320 is about 1585.7707470244.

The spelling of 3987688320 in words is "three billion, nine hundred eighty-seven million, six hundred eighty-eight thousand, three hundred twenty".