34096719449982 has 192 divisors, whose sum is σ = 82802899077120. Its totient is φ = 9143497639872.

The previous prime is 34096719449873. The next prime is 34096719449999. The reversal of 34096719449982 is 28994491769043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19080424093 + ... + 19080425879.

It is an arithmetic number, because the mean of its divisors is an integer number (431265099360).

Almost surely, 2^{34096719449982} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34096719449982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41401449538560).

34096719449982 is an abundant number, since it is smaller than the sum of its proper divisors (48706179627138).

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

34096719449982 is a wasteful number, since it uses less digits than its factorization.

34096719449982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 75.

The spelling of 34096719449982 in words is "thirty-four trillion, ninety-six billion, seven hundred nineteen million, four hundred forty-nine thousand, nine hundred eighty-two".