9034942176 has 288 divisors, whose sum is σ = 28945687680. Its totient is φ = 2755689984.

The previous prime is 9034942151. The next prime is 9034942181. The reversal of 9034942176 is 6712494309.

It is a happy number.

9034942176 is a `hidden beast` number, since 90 + 3 + 494 + 2 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9034942176² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14050911 + ... + 14051553.

It is an arithmetic number, because the mean of its divisors is an integer number (100505860).

Almost surely, 2^9034942176 is an apocalyptic number.

9034942176 is a gapful number since it is divisible by the number (96) 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 9034942176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472843840).

9034942176 is an abundant number, since it is smaller than the sum of its proper divisors (19910745504).

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

9034942176 is a wasteful number, since it uses less digits than its factorization.

9034942176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9034942176 is about 95052.3128387732. The cubic root of 9034942176 is about 2082.7722969336.

The spelling of 9034942176 in words is "nine billion, thirty-four million, nine hundred forty-two thousand, one hundred seventy-six".