3128878831104 has 640 divisors, whose sum is σ = 10955848780800. Its totient is φ = 872385085440.

The previous prime is 3128878831049. The next prime is 3128878831109. The reversal of 3128878831104 is 4011388788213.

3128878831104 is a `hidden beast` number, since 312 + 8 + 8 + 7 + 8 + 8 + 311 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128878831109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78514224 + ... + 78554064.

It is an arithmetic number, because the mean of its divisors is an integer number (17118513720).

Almost surely, 2^{3128878831104} 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 3128878831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477924390400).

3128878831104 is an abundant number, since it is smaller than the sum of its proper divisors (7826969949696).

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

3128878831104 is a wasteful number, since it uses less digits than its factorization.

3128878831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39923 (or 39901 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 3128878831104 in words is "three trillion, one hundred twenty-eight billion, eight hundred seventy-eight million, eight hundred thirty-one thousand, one hundred four".