38442005745 has 128 divisors (see below), whose sum is σ = 75155351040. Its totient is φ = 16521953280.

The previous prime is 38442005743. The next prime is 38442005753. The reversal of 38442005745 is 54750024483.

It is not a de Polignac number, because 38442005745 - 2¹ = 38442005743 is a prime.

It is a super-2 number, since 2×38442005745² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38442005697 and 38442005706.

It is not an unprimeable number, because it can be changed into a prime (38442005741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12252817 + ... + 12255953.

It is an arithmetic number, because the mean of its divisors is an integer number (587151180).

Almost surely, 2^38442005745 is an apocalyptic number.

It is an amenable number.

38442005745 is a deficient number, since it is larger than the sum of its proper divisors (36713345295).

38442005745 is a wasteful number, since it uses less digits than its factorization.

38442005745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395.

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 38442005745 in words is "thirty-eight billion, four hundred forty-two million, five thousand, seven hundred forty-five".