3427712442112 has 72 divisors (see below), whose sum is σ = 8159446020096. Its totient is φ = 1405149182976.

The previous prime is 3427712442109. The next prime is 3427712442113. The reversal of 3427712442112 is 2112442177243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427712442113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41541088 + ... + 41623519.

It is an arithmetic number, because the mean of its divisors is an integer number (113325639168).

Almost surely, 2^{3427712442112} is an apocalyptic number.

3427712442112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3427712442112 is an abundant number, since it is smaller than the sum of its proper divisors (4731733577984).

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

3427712442112 is an equidigital number, since it uses as much as digits as its factorization.

3427712442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83164653 (or 83164639 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The spelling of 3427712442112 in words is "three trillion, four hundred twenty-seven billion, seven hundred twelve million, four hundred forty-two thousand, one hundred twelve".