3447793722912 has 288 divisors, whose sum is σ = 11659444134912. Its totient is φ = 866640960000.

The previous prime is 3447793722889. The next prime is 3447793722931. The reversal of 3447793722912 is 2192273977443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6861037 + ... + 7346387.

It is an arithmetic number, because the mean of its divisors is an integer number (40484181024).

Almost surely, 2^{3447793722912} is an apocalyptic number.

3447793722912 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 3447793722912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829722067456).

3447793722912 is an abundant number, since it is smaller than the sum of its proper divisors (8211650412000).

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

3447793722912 is a wasteful number, since it uses less digits than its factorization.

3447793722912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485444 (or 485405 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 60.

The spelling of 3447793722912 in words is "three trillion, four hundred forty-seven billion, seven hundred ninety-three million, seven hundred twenty-two thousand, nine hundred twelve".