38099136100 has 81 divisors (see below), whose sum is σ = 83873937931. Its totient is φ = 15021822400.

The previous prime is 38099136083. The next prime is 38099136107. The reversal of 38099136100 is 163199083.

The square root of 38099136100 is 195190.

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 11370809956 + 26728326144 = 106634^2 + 163488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38099136107) 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 26 ways as a sum of consecutive naturals, for example, 255698826 + ... + 255698974.

Almost surely, 2^38099136100 is an apocalyptic number.

38099136100 is the 195190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38099136100

38099136100 is an abundant number, since it is smaller than the sum of its proper divisors (45774801831).

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

38099136100 is a wasteful number, since it uses less digits than its factorization.

38099136100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 38099136100 in words is "thirty-eight billion, ninety-nine million, one hundred thirty-six thousand, one hundred".