3987488000 has 108 divisors (see below), whose sum is σ = 9961550508. Its totient is φ = 1590476800.

The previous prime is 3987487981. The next prime is 3987488003. The reversal of 3987488000 is 8847893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1654211584 + 2333276416 = 40672^2 + 48304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987488003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11295824 + ... + 11296176.

Almost surely, 2^3987488000 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 3987488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980775254).

3987488000 is an abundant number, since it is smaller than the sum of its proper divisors (5974062508).

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

3987488000 is an frugal number, since it uses more digits than its factorization.

3987488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 3987488000 is about 63146.5596845941. The cubic root of 3987488000 is about 1585.7441930504.

The spelling of 3987488000 in words is "three billion, nine hundred eighty-seven million, four hundred eighty-eight thousand".