38492900 has 36 divisors (see below), whose sum is σ = 84689892. Its totient is φ = 15183360.

The previous prime is 38492899. The next prime is 38492903. The reversal of 38492900 is 929483.

38492900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 473344 + 38019556 = 688^2 + 6166^2 .

It is not an unprimeable number, because it can be changed into a prime (38492903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4664 + ... + 9936.

It is an arithmetic number, because the mean of its divisors is an integer number (2352497).

Almost surely, 2^38492900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38492900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42344946).

38492900 is an abundant number, since it is smaller than the sum of its proper divisors (46196992).

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

38492900 is a wasteful number, since it uses less digits than its factorization.

38492900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 38492900 is about 6204.2646623109. The cubic root of 38492900 is about 337.6449126213.

The spelling of 38492900 in words is "thirty-eight million, four hundred ninety-two thousand, nine hundred".