3987337760 has 144 divisors (see below), whose sum is σ = 11603038104. Its totient is φ = 1286627328.

The previous prime is 3987337759. The next prime is 3987337763. The reversal of 3987337760 is 677337893.

3987337760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3965472784 + 21864976 = 62972^2 + 4676^2 .

It is not an unprimeable number, because it can be changed into a prime (3987337763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118322 + ... + 148238.

Almost surely, 2^3987337760 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 3987337760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801519052).

3987337760 is an abundant number, since it is smaller than the sum of its proper divisors (7615700344).

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

3987337760 is a wasteful number, since it uses less digits than its factorization.

3987337760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29963 (or 29948 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 53.

The square root of 3987337760 is about 63145.3700598864. The cubic root of 3987337760 is about 1585.7242769863.

The spelling of 3987337760 in words is "three billion, nine hundred eighty-seven million, three hundred thirty-seven thousand, seven hundred sixty".