38326400 has 192 divisors, whose sum is σ = 113832000. Its totient is φ = 12472320.

The previous prime is 38326399. The next prime is 38326411. The reversal of 38326400 is 462383.

It is a self number, because there is not a number n which added to its sum of digits gives 38326400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649571 + ... + 649629.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^38326400 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 38326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

38326400 is an abundant number, since it is smaller than the sum of its proper divisors (75505600).

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

38326400 is a wasteful number, since it uses less digits than its factorization.

38326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 38326400 is about 6190.8319311705. The cubic root of 38326400 is about 337.1573843619.

Adding to 38326400 its reverse (462383), we get a palindrome (38788783).

The spelling of 38326400 in words is "thirty-eight million, three hundred twenty-six thousand, four hundred".