38445300 has 144 divisors (see below), whose sum is σ = 128116800. Its totient is φ = 9878400.

The previous prime is 38445289. The next prime is 38445307. The reversal of 38445300 is 354483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38445307) 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 47 ways as a sum of consecutive naturals, for example, 78055 + ... + 78545.

It is an arithmetic number, because the mean of its divisors is an integer number (889700).

Almost surely, 2^38445300 is an apocalyptic number.

38445300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64058400).

38445300 is an abundant number, since it is smaller than the sum of its proper divisors (89671500).

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

38445300 is a wasteful number, since it uses less digits than its factorization.

38445300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38445300 is about 6200.4274046230. The cubic root of 38445300 is about 337.5056789168.

Adding to 38445300 its reverse (354483), we get a palindrome (38799783).

The spelling of 38445300 in words is "thirty-eight million, four hundred forty-five thousand, three hundred".