38812900 has 81 divisors (see below), whose sum is σ = 99088059. Its totient is φ = 13157760.

The previous prime is 38812867. The next prime is 38812903. The reversal of 38812900 is 921883.

The square root of 38812900 is 6230.

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 8076964 + 30735936 = 2842^2 + 5544^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38812903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 436056 + ... + 436144.

Almost surely, 2^38812900 is an apocalyptic number.

38812900 is the 6230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38812900

38812900 is an abundant number, since it is smaller than the sum of its proper divisors (60275159).

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

38812900 is a wasteful number, since it uses less digits than its factorization.

38812900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 38812900 is about 338.5779707760.

The spelling of 38812900 in words is "thirty-eight million, eight hundred twelve thousand, nine hundred".