34441323971712 has 192 divisors, whose sum is σ = 106494685439040. Its totient is φ = 9833569966080.

The previous prime is 34441323971683. The next prime is 34441323971753. The reversal of 34441323971712 is 21717932314443.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26594262 + ... + 27859242.

It is an arithmetic number, because the mean of its divisors is an integer number (554659819995).

Almost surely, 2^{34441323971712} is an apocalyptic number.

34441323971712 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 34441323971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53247342719520).

34441323971712 is an abundant number, since it is smaller than the sum of its proper divisors (72053361467328).

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

34441323971712 is a wasteful number, since it uses less digits than its factorization.

34441323971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266459 (or 1266440 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The spelling of 34441323971712 in words is "thirty-four trillion, four hundred forty-one billion, three hundred twenty-three million, nine hundred seventy-one thousand, seven hundred twelve".