38305300 has 72 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 13747200.

The previous prime is 38305297. The next prime is 38305313. The reversal of 38305300 is 350383.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 106521 + ... + 106879.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^38305300 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 38305300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560).

38305300 is an abundant number, since it is smaller than the sum of its proper divisors (53563820).

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

38305300 is a wasteful number, since it uses less digits than its factorization.

38305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 38305300 is about 6189.1275637201. The cubic root of 38305300 is about 337.0955007629.

Adding to 38305300 its reverse (350383), we get a palindrome (38655683).

The spelling of 38305300 in words is "thirty-eight million, three hundred five thousand, three hundred".