38481200 has 60 divisors (see below), whose sum is σ = 97906680. Its totient is φ = 14484480.

The previous prime is 38481181. The next prime is 38481211. The reversal of 38481200 is 218483.

It is a self number, because there is not a number n which added to its sum of digits gives 38481200.

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 11 ways as a sum of consecutive naturals, for example, 3971 + ... + 9629.

It is an arithmetic number, because the mean of its divisors is an integer number (1631778).

Almost surely, 2^38481200 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 38481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48953340).

38481200 is an abundant number, since it is smaller than the sum of its proper divisors (59425480).

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

38481200 is a wasteful number, since it uses less digits than its factorization.

38481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 38481200 is about 6203.3216908363. The cubic root of 38481200 is about 337.6106998548.

Adding to 38481200 its reverse (218483), we get a palindrome (38699683).

The spelling of 38481200 in words is "thirty-eight million, four hundred eighty-one thousand, two hundred".