3987240000 has 280 divisors, whose sum is σ = 13330732800. Its totient is φ = 1051392000.

The previous prime is 3987239983. The next prime is 3987240011. The reversal of 3987240000 is 427893.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17879889 + ... + 17880111.

It is an arithmetic number, because the mean of its divisors is an integer number (47609760).

Almost surely, 2^3987240000 is an apocalyptic number.

3987240000 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 3987240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665366400).

3987240000 is an abundant number, since it is smaller than the sum of its proper divisors (9343492800).

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

3987240000 is a wasteful number, since it uses less digits than its factorization.

3987240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3987240000 is about 63144.5959683012. The cubic root of 3987240000 is about 1585.7113174895.

Adding to 3987240000 its reverse (427893), we get a palindrome (3987667893).

The spelling of 3987240000 in words is "three billion, nine hundred eighty-seven million, two hundred forty thousand".