38041200 has 90 divisors (see below), whose sum is σ = 132026024. Its totient is φ = 10143360.

The previous prime is 38041187. The next prime is 38041229. The reversal of 38041200 is 214083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 1684 + ... + 8883.

Almost surely, 2^38041200 is an apocalyptic number.

38041200 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 38041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66013012).

38041200 is an abundant number, since it is smaller than the sum of its proper divisors (93984824).

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

38041200 is a wasteful number, since it uses less digits than its factorization.

38041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38041200 is about 6167.7548589418. The cubic root of 38041200 is about 336.3189997656.

Adding to 38041200 its reverse (214083), we get a palindrome (38255283).

The spelling of 38041200 in words is "thirty-eight million, forty-one thousand, two hundred".