38133033200 has 120 divisors (see below), whose sum is σ = 97247972160. Its totient is φ = 14319820800.

The previous prime is 38133033199. The next prime is 38133033259. The reversal of 38133033200 is 233033183.

38133033200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38133033200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2774345 + ... + 2788055.

It is an arithmetic number, because the mean of its divisors is an integer number (810399768).

Almost surely, 2^38133033200 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 38133033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48623986080).

38133033200 is an abundant number, since it is smaller than the sum of its proper divisors (59114938960).

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

38133033200 is a wasteful number, since it uses less digits than its factorization.

38133033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14155 (or 14144 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 38133033200 its reverse (233033183), we get a palindrome (38366066383).

The spelling of 38133033200 in words is "thirty-eight billion, one hundred thirty-three million, thirty-three thousand, two hundred".