3987667409 has 12 divisors (see below), whose sum is σ = 4387600308. Its totient is φ = 3621462240.

The previous prime is 3987667363. The next prime is 3987667433. The reversal of 3987667409 is 9047667893.

It can be written as a sum of positive squares in 2 ways, for example, as 357966400 + 3629701009 = 18920^2 + 60247^2 .

It is not a de Polignac number, because 3987667409 - 2¹² = 3987663313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3987663409) 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, 106307 + ... + 138839.

It is an arithmetic number, because the mean of its divisors is an integer number (365633359).

Almost surely, 2^3987667409 is an apocalyptic number.

It is an amenable number.

3987667409 is a deficient number, since it is larger than the sum of its proper divisors (399932899).

3987667409 is a wasteful number, since it uses less digits than its factorization.

3987667409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33568 (or 33557 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 59.

The square root of 3987667409 is about 63147.9802448186. The cubic root of 3987667409 is about 1585.7679751502.

The spelling of 3987667409 in words is "three billion, nine hundred eighty-seven million, six hundred sixty-seven thousand, four hundred nine".