34017690096 has 160 divisors (see below), whose sum is σ = 107600613120. Its totient is φ = 10223490816.

The previous prime is 34017690067. The next prime is 34017690097. The reversal of 34017690096 is 69009671043.

34017690096 is a `hidden beast` number, since 3 + 401 + 76 + 90 + 0 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34017690097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171055 + ... + 311921.

It is an arithmetic number, because the mean of its divisors is an integer number (672503832).

Almost surely, 2^34017690096 is an apocalyptic number.

34017690096 is a gapful number since it is divisible by the number (36) 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 34017690096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53800306560).

34017690096 is an abundant number, since it is smaller than the sum of its proper divisors (73582923024).

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

34017690096 is a wasteful number, since it uses less digits than its factorization.

34017690096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140940 (or 140928 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

It can be divided in two parts, 340 and 17690096, that added together give a square (17690436 = 4206²).

The spelling of 34017690096 in words is "thirty-four billion, seventeen million, six hundred ninety thousand, ninety-six".