34042940770176 has 192 divisors, whose sum is σ = 105502348944720. Its totient is φ = 10474284957696.

The previous prime is 34042940770159. The next prime is 34042940770177. The reversal of 34042940770176 is 67107704924043.

It is a happy number.

34042940770176 is a `hidden beast` number, since 3 + 4 + 0 + 429 + 40 + 7 + 7 + 0 + 176 = 666.

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

It is a super-2 number, since 2×34042940770176² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042940770177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504852175 + ... + 504919601.

Almost surely, 2^{34042940770176} is an apocalyptic number.

34042940770176 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 34042940770176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52751174472360).

34042940770176 is an abundant number, since it is smaller than the sum of its proper divisors (71459408174544).

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

34042940770176 is a wasteful number, since it uses less digits than its factorization.

34042940770176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101173 (or 101158 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 34042940770176 in words is "thirty-four trillion, forty-two billion, nine hundred forty million, seven hundred seventy thousand, one hundred seventy-six".