3838235333000 has 256 divisors, whose sum is σ = 9826777958400. Its totient is φ = 1396915200000.

The previous prime is 3838235332979. The next prime is 3838235333011. The reversal of 3838235333000 is 3335328383.

3838235333000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594979775 + ... + 594986225.

It is an arithmetic number, because the mean of its divisors is an integer number (38385851400).

Almost surely, 2^{3838235333000} 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 3838235333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913388979200).

3838235333000 is an abundant number, since it is smaller than the sum of its proper divisors (5988542625400).

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

3838235333000 is a wasteful number, since it uses less digits than its factorization.

3838235333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

The spelling of 3838235333000 in words is "three trillion, eight hundred thirty-eight billion, two hundred thirty-five million, three hundred thirty-three thousand".