38421043200 has 288 divisors, whose sum is σ = 141132373200. Its totient is φ = 10245242880.

The previous prime is 38421043117. The next prime is 38421043223. The reversal of 38421043200 is 234012483.

38421043200 is a `hidden beast` number, since 38 + 421 + 0 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1368504 + ... + 1396296.

Almost surely, 2^38421043200 is an apocalyptic number.

38421043200 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 38421043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70566186600).

38421043200 is an abundant number, since it is smaller than the sum of its proper divisors (102711330000).

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

38421043200 is a wasteful number, since it uses less digits than its factorization.

38421043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27834 (or 27803 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 38421043200 its reverse (234012483), we get a palindrome (38655055683).

The spelling of 38421043200 in words is "thirty-eight billion, four hundred twenty-one million, forty-three thousand, two hundred".