3427043622912 has 720 divisors, whose sum is σ = 12286721155072. Its totient is φ = 896272957440.

The previous prime is 3427043622901. The next prime is 3427043622913. The reversal of 3427043622912 is 2192263407243.

3427043622912 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 0 + 4 + 3 + 622 + 9 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427043622913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1704147987 + ... + 1704149997.

Almost surely, 2^{3427043622912} is an apocalyptic number.

3427043622912 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 3427043622912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143360577536).

3427043622912 is an abundant number, since it is smaller than the sum of its proper divisors (8859677532160).

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

3427043622912 is a wasteful number, since it uses less digits than its factorization.

3427043622912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3427043622912 in words is "three trillion, four hundred twenty-seven billion, forty-three million, six hundred twenty-two thousand, nine hundred twelve".