3984513129 has 27 divisors (see below), whose sum is σ = 5880862533. Its totient is φ = 2599657632.

The previous prime is 3984513103. The next prime is 3984513133. The reversal of 3984513129 is 9213154893.

It is a happy number.

The square root of 3984513129 is 63123.

It is a perfect power (a square), and thus also a powerful number.

3984513129 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 513 + 129 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 611226729 + 3373286400 = 24723^2 + 58080^2 .

It is not a de Polignac number, because 3984513129 - 2¹⁵ = 3984480361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3984523129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10036359 + ... + 10036755.

Almost surely, 2^3984513129 is an apocalyptic number.

3984513129 is the 63123-rd square number.

3984513129 is the 31562-nd centered octagonal number.

It is an amenable number.

3984513129 is a deficient number, since it is larger than the sum of its proper divisors (1896349404).

3984513129 is an frugal number, since it uses more digits than its factorization.

3984513129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 453 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The cubic root of 3984513129 is about 1585.3497460504.

The spelling of 3984513129 in words is "three billion, nine hundred eighty-four million, five hundred thirteen thousand, one hundred twenty-nine".