3128379788160 has 2048 divisors, whose sum is σ = 13277364480000. Its totient is φ = 687616819200.

The previous prime is 3128379788153. The next prime is 3128379788197. The reversal of 3128379788160 is 618879738213.

3128379788160 is a `hidden beast` number, since 3 + 1 + 28 + 379 + 7 + 88 + 160 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11629664506 + ... + 11629664774.

It is an arithmetic number, because the mean of its divisors is an integer number (6483088125).

Almost surely, 2^{3128379788160} is an apocalyptic number.

3128379788160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128379788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638682240000).

3128379788160 is an abundant number, since it is smaller than the sum of its proper divisors (10148984691840).

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

3128379788160 is a wasteful number, since it uses less digits than its factorization.

3128379788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 3128379788160 in words is "three trillion, one hundred twenty-eight billion, three hundred seventy-nine million, seven hundred eighty-eight thousand, one hundred sixty".