388842129 has 18 divisors (see below), whose sum is σ = 608191350. Its totient is φ = 239286528.

The previous prime is 388842089. The next prime is 388842133. The reversal of 388842129 is 921248883.

It can be written as a sum of positive squares in 3 ways, for example, as 22043025 + 366799104 = 4695^2 + 19152^2 .

It is not a de Polignac number, because 388842129 - 2⁷ = 388842001 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (388842149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126304 + ... + 129345.

Almost surely, 2^388842129 is an apocalyptic number.

388842129 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

388842129 is a deficient number, since it is larger than the sum of its proper divisors (219349221).

388842129 is a wasteful number, since it uses less digits than its factorization.

388842129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255681 (or 255665 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 388842129 is about 19719.0803284535. The cubic root of 388842129 is about 729.8906003570.

The spelling of 388842129 in words is "three hundred eighty-eight million, eight hundred forty-two thousand, one hundred twenty-nine".