38633474916 has 243 divisors, whose sum is σ = 108641712907. Its totient is φ = 11573099520.

The previous prime is 38633474911. The next prime is 38633475011. The reversal of 38633474916 is 61947433683.

It is a happy number.

The square root of 38633474916 is 196554.

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

38633474916 is a `hidden beast` number, since 3 + 86 + 3 + 3 + 474 + 91 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2721708900 + 35911766016 = 52170^2 + 189504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38633474911) 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 80 ways as a sum of consecutive naturals, for example, 821988805 + ... + 821988851.

Almost surely, 2^38633474916 is an apocalyptic number.

38633474916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38633474916 is the 196554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38633474916

38633474916 is an abundant number, since it is smaller than the sum of its proper divisors (70008237991).

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

38633474916 is a wasteful number, since it uses less digits than its factorization.

38633474916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 38633474916 in words is "thirty-eight billion, six hundred thirty-three million, four hundred seventy-four thousand, nine hundred sixteen".