3112779930336 has 144 divisors (see below), whose sum is σ = 9217914673968. Its totient is φ = 1033287321600.

The previous prime is 3112779930329. The next prime is 3112779930341. The reversal of 3112779930336 is 6330399772113.

It is a happy number.

3112779930336 is a `hidden beast` number, since 3 + 1 + 1 + 277 + 9 + 9 + 30 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043506 + ... + 2704526.

It is an arithmetic number, because the mean of its divisors is an integer number (64013296347).

Almost surely, 2^{3112779930336} is an apocalyptic number.

3112779930336 is a gapful number since it is divisible by the number (36) 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 3112779930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608957336984).

3112779930336 is an abundant number, since it is smaller than the sum of its proper divisors (6105134743632).

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

3112779930336 is a wasteful number, since it uses less digits than its factorization.

3112779930336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661287 (or 1661267 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 3112779930336 in words is "three trillion, one hundred twelve billion, seven hundred seventy-nine million, nine hundred thirty thousand, three hundred thirty-six".