38168796048100 has 27 divisors (see below), whose sum is σ = 82826421489147. Its totient is φ = 15267493706880.

The previous prime is 38168796048077. The next prime is 38168796048107. The reversal of 38168796048100 is 184069786183.

The square root of 38168796048100 is 6178090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5680528824996 + 32488267223104 = 2383386^2 + 5699848^2 .

It is a super-2 number, since 2×38168796048100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38168796048107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61471996 + ... + 62089804.

Almost surely, 2^{38168796048100} is an apocalyptic number.

38168796048100 is the 6178090-th square number.

It is an amenable number.

38168796048100 is an abundant number, since it is smaller than the sum of its proper divisors (44657625441047).

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

38168796048100 is an frugal number, since it uses more digits than its factorization.

38168796048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235632 (or 617816 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 61.

The spelling of 38168796048100 in words is "thirty-eight trillion, one hundred sixty-eight billion, seven hundred ninety-six million, forty-eight thousand, one hundred".