3394314186912 has 384 divisors, whose sum is σ = 11049920259840. Its totient is φ = 1004949504000.

The previous prime is 3394314186911. The next prime is 3394314186917. The reversal of 3394314186912 is 2196814134933.

3394314186912 is a `hidden beast` number, since 3 + 3 + 9 + 431 + 41 + 86 + 91 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3394314186911) 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, 121380612 + ... + 121408572.

It is an arithmetic number, because the mean of its divisors is an integer number (28775834010).

Almost surely, 2^{3394314186912} is an apocalyptic number.

3394314186912 is a gapful number since it is divisible by the number (32) 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 3394314186912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524960129920).

3394314186912 is an abundant number, since it is smaller than the sum of its proper divisors (7655606072928).

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

3394314186912 is a wasteful number, since it uses less digits than its factorization.

3394314186912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28285 (or 28271 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 3394314186912 in words is "three trillion, three hundred ninety-four billion, three hundred fourteen million, one hundred eighty-six thousand, nine hundred twelve".