38364500 has 36 divisors (see below), whose sum is σ = 84091644. Its totient is φ = 15290400.

The previous prime is 38364499. The next prime is 38364503. The reversal of 38364500 is 546383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 25847056 + 12517444 = 5084^2 + 3538^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38364503) 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 11 ways as a sum of consecutive naturals, for example, 138362 + ... + 138638.

It is an arithmetic number, because the mean of its divisors is an integer number (2335879).

Almost surely, 2^38364500 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 38364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42045822).

38364500 is an abundant number, since it is smaller than the sum of its proper divisors (45727144).

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

38364500 is an equidigital number, since it uses as much as digits as its factorization.

38364500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 38364500 is about 6193.9082976744. The cubic root of 38364500 is about 337.2690692761.

The spelling of 38364500 in words is "thirty-eight million, three hundred sixty-four thousand, five hundred".