3121896778896 has 320 divisors, whose sum is σ = 9987360768000. Its totient is φ = 820418554368.

The previous prime is 3121896778831. The next prime is 3121896778921. The reversal of 3121896778896 is 6988776981213.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

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, 45809455 + ... + 45877553.

It is an arithmetic number, because the mean of its divisors is an integer number (31210502400).

Almost surely, 2^{3121896778896} 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 3121896778896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993680384000).

3121896778896 is an abundant number, since it is smaller than the sum of its proper divisors (6865463989104).

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

3121896778896 is a wasteful number, since it uses less digits than its factorization.

3121896778896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68346 (or 68340 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 75.

The spelling of 3121896778896 in words is "three trillion, one hundred twenty-one billion, eight hundred ninety-six million, seven hundred seventy-eight thousand, eight hundred ninety-six".