38490516100 has 81 divisors (see below), whose sum is σ = 87416288463. Its totient is φ = 14709541440.

The previous prime is 38490516089. The next prime is 38490516107. The reversal of 38490516100 is 161509483.

The square root of 38490516100 is 196190.

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 15391379844 + 23099136256 = 124062^2 + 151984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38490516100.

It is not an unprimeable number, because it can be changed into a prime (38490516107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45123274 + ... + 45124126.

Almost surely, 2^38490516100 is an apocalyptic number.

38490516100 is the 196190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38490516100

38490516100 is an abundant number, since it is smaller than the sum of its proper divisors (48925772363).

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

38490516100 is an equidigital number, since it uses as much as digits as its factorization.

38490516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 38490516100 in words is "thirty-eight billion, four hundred ninety million, five hundred sixteen thousand, one hundred".