3833324808040 has 128 divisors (see below), whose sum is σ = 10629732960000. Its totient is φ = 1211541608448.

The previous prime is 3833324808031. The next prime is 3833324808041. The reversal of 3833324808040 is 408084233383.

It is not an unprimeable number, because it can be changed into a prime (3833324808041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977436 + ... + 3402484.

It is an arithmetic number, because the mean of its divisors is an integer number (83044788750).

Almost surely, 2^{3833324808040} 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 3833324808040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314866480000).

3833324808040 is an abundant number, since it is smaller than the sum of its proper divisors (6796408151960).

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

3833324808040 is a wasteful number, since it uses less digits than its factorization.

3833324808040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425819 (or 1425815 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 3833324808040 in words is "three trillion, eight hundred thirty-three billion, three hundred twenty-four million, eight hundred eight thousand, forty".