3833409400128 has 336 divisors, whose sum is σ = 13886715163776. Its totient is φ = 982050324480.

The previous prime is 3833409400087. The next prime is 3833409400129. The reversal of 3833409400128 is 8210049043383.

3833409400128 is a `hidden beast` number, since 3 + 83 + 3 + 40 + 9 + 400 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×3833409400128³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833409400129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2645700 + ... + 3829692.

It is an arithmetic number, because the mean of its divisors is an integer number (41329509416).

Almost surely, 2^{3833409400128} 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 3833409400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943357581888).

3833409400128 is an abundant number, since it is smaller than the sum of its proper divisors (10053305763648).

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

3833409400128 is a wasteful number, since it uses less digits than its factorization.

3833409400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184102 (or 1184089 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3833409400128 in words is "three trillion, eight hundred thirty-three billion, four hundred nine million, four hundred thousand, one hundred twenty-eight".