34192085064 has 64 divisors (see below), whose sum is σ = 88764508800. Its totient is φ = 10962448896.

The previous prime is 34192085047. The next prime is 34192085089. The reversal of 34192085064 is 46058029143.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89652 + ... + 276444.

It is an arithmetic number, because the mean of its divisors is an integer number (1386945450).

Almost surely, 2^34192085064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34192085064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44382254400).

34192085064 is an abundant number, since it is smaller than the sum of its proper divisors (54572423736).

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

34192085064 is a wasteful number, since it uses less digits than its factorization.

34192085064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187094 (or 187090 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 34192085064 in words is "thirty-four billion, one hundred ninety-two million, eighty-five thousand, sixty-four".