3838312728333 has 48 divisors (see below), whose sum is σ = 5778925641216. Its totient is φ = 2545833726000.

The previous prime is 3838312728317. The next prime is 3838312728389. The reversal of 3838312728333 is 3338272138383.

3838312728333 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 31 + 272 + 8 + 333 = 666.

It is not a de Polignac number, because 3838312728333 - 2⁴ = 3838312728317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3838312728333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838312728233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55285960 + ... + 55355342.

It is an arithmetic number, because the mean of its divisors is an integer number (120394284192).

Almost surely, 2^{3838312728333} is an apocalyptic number.

It is an amenable number.

3838312728333 is a deficient number, since it is larger than the sum of its proper divisors (1940612912883).

3838312728333 is an equidigital number, since it uses as much as digits as its factorization.

3838312728333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70556 (or 70544 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 3838312728333 in words is "three trillion, eight hundred thirty-eight billion, three hundred twelve million, seven hundred twenty-eight thousand, three hundred thirty-three".