38226300 has 144 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 8605440.

The previous prime is 38226289. The next prime is 38226311. The reversal of 38226300 is 362283.

38226300 = 393² + 394² + ... + 559².

38226300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38226289) and next prime (38226311).

It is a super-2 number, since 2×38226300² = 2922500023380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 228817 + ... + 228983.

Almost surely, 2^38226300 is an apocalyptic number.

38226300 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 38226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

38226300 is an abundant number, since it is smaller than the sum of its proper divisors (90098820).

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

38226300 is a wasteful number, since it uses less digits than its factorization.

38226300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 38226300 is about 6182.7421100997. The cubic root of 38226300 is about 336.8636018439.

Adding to 38226300 its reverse (362283), we get a palindrome (38588583).

The spelling of 38226300 in words is "thirty-eight million, two hundred twenty-six thousand, three hundred".