3289135120128 has 576 divisors, whose sum is σ = 11705848680960. Its totient is φ = 897586790400.

The previous prime is 3289135120069. The next prime is 3289135120171. The reversal of 3289135120128 is 8210215319823.

3289135120128 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 1 + 3 + 512 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 40484475 + ... + 40565637.

It is an arithmetic number, because the mean of its divisors is an integer number (20322653960).

Almost surely, 2^{3289135120128} 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 3289135120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852924340480).

3289135120128 is an abundant number, since it is smaller than the sum of its proper divisors (8416713560832).

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

3289135120128 is a wasteful number, since it uses less digits than its factorization.

3289135120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81253 (or 81233 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 3289135120128 in words is "three trillion, two hundred eighty-nine billion, one hundred thirty-five million, one hundred twenty thousand, one hundred twenty-eight".