3391311328128 has 384 divisors, whose sum is σ = 10188962784000. Its totient is φ = 1122798661632.

The previous prime is 3391311328103. The next prime is 3391311328213. The reversal of 3391311328128 is 8218231131933.

3391311328128 is a `hidden beast` number, since 3 + 3 + 9 + 1 + 311 + 328 + 1 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4191978988 + ... + 4191979796.

It is an arithmetic number, because the mean of its divisors is an integer number (26533757250).

Almost surely, 2^{3391311328128} 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 3391311328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094481392000).

3391311328128 is an abundant number, since it is smaller than the sum of its proper divisors (6797651455872).

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

3391311328128 is an equidigital number, since it uses as much as digits as its factorization.

3391311328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1560 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 3391311328128 in words is "three trillion, three hundred ninety-one billion, three hundred eleven million, three hundred twenty-eight thousand, one hundred twenty-eight".