3112334869680 has 600 divisors, whose sum is σ = 11252809149120. Its totient is φ = 797123358720.

The previous prime is 3112334869663. The next prime is 3112334869687. The reversal of 3112334869680 is 869684332113.

3112334869680 is a `hidden beast` number, since 31 + 12 + 33 + 486 + 96 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3112334869687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 700816260 + ... + 700820700.

Almost surely, 2^{3112334869680} is an apocalyptic number.

3112334869680 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 3112334869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626404574560).

3112334869680 is an abundant number, since it is smaller than the sum of its proper divisors (8140474279440).

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

3112334869680 is a wasteful number, since it uses less digits than its factorization.

3112334869680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3112334869680 in words is "three trillion, one hundred twelve billion, three hundred thirty-four million, eight hundred sixty-nine thousand, six hundred eighty".