38335955805 has 144 divisors (see below), whose sum is σ = 80491507200. Its totient is φ = 17519864544.

The previous prime is 38335955803. The next prime is 38335955849. The reversal of 38335955805 is 50855953383.

38335955805 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 59 + 5 + 580 + 5 = 666.

It is not a de Polignac number, because 38335955805 - 2¹ = 38335955803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38335955803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11250412 + ... + 11253818.

It is an arithmetic number, because the mean of its divisors is an integer number (558968800).

Almost surely, 2^38335955805 is an apocalyptic number.

38335955805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38335955805 is an abundant number, since it is smaller than the sum of its proper divisors (42155551395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38335955805 is an frugal number, since it uses more digits than its factorization.

38335955805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 38335955805 in words is "thirty-eight billion, three hundred thirty-five million, nine hundred fifty-five thousand, eight hundred five".