3129308320128 has 384 divisors, whose sum is σ = 8859951809280. Its totient is φ = 977281708032.

The previous prime is 3129308320121. The next prime is 3129308320207. The reversal of 3129308320128 is 8210238039213.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3129308320128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129308320121) 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, 14032772625 + ... + 14032772847.

It is an arithmetic number, because the mean of its divisors is an integer number (23072791170).

Almost surely, 2^{3129308320128} 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 3129308320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429975904640).

3129308320128 is an abundant number, since it is smaller than the sum of its proper divisors (5730643489152).

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

3129308320128 is a wasteful number, since it uses less digits than its factorization.

3129308320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 3129308320128 in words is "three trillion, one hundred twenty-nine billion, three hundred eight million, three hundred twenty thousand, one hundred twenty-eight".