38414308129 has 24 divisors (see below), whose sum is σ = 41589361440. Its totient is φ = 35382227328.

The previous prime is 38414308081. The next prime is 38414308133. The reversal of 38414308129 is 92180341483.

38414308129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38414308129 - 2⁷ = 38414308001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (38414308189) 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, 7972329 + ... + 7977145.

It is an arithmetic number, because the mean of its divisors is an integer number (1732890060).

Almost surely, 2^38414308129 is an apocalyptic number.

It is an amenable number.

38414308129 is a deficient number, since it is larger than the sum of its proper divisors (3175053311).

38414308129 is a wasteful number, since it uses less digits than its factorization.

38414308129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 38414308129 in words is "thirty-eight billion, four hundred fourteen million, three hundred eight thousand, one hundred twenty-nine".