3712238398089 has 81 divisors (see below), whose sum is σ = 5867484064533. Its totient is φ = 2260640176704.

The previous prime is 3712238398087. The next prime is 3712238398117. The reversal of 3712238398089 is 9808938322173.

The square root of 3712238398089 is 1926717.

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

3712238398089 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 238 + 398 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1426674969225 + 2285563428864 = 1194435^2 + 1511808^2 .

It is not a de Polignac number, because 3712238398089 - 2¹ = 3712238398087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3712238398087) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9543029107 + ... + 9543029495.

Almost surely, 2^{3712238398089} is an apocalyptic number.

3712238398089 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3712238398089 is the 1926717-th square number.

3712238398089 is the 963359-th centered octagonal number.

It is an amenable number.

3712238398089 is a deficient number, since it is larger than the sum of its proper divisors (2155245666444).

3712238398089 is an equidigital number, since it uses as much as digits as its factorization.

3712238398089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3712238398089 in words is "three trillion, seven hundred twelve billion, two hundred thirty-eight million, three hundred ninety-eight thousand, eighty-nine".