9034605216 has 240 divisors, whose sum is σ = 32703035904. Its totient is φ = 2382690816.

The previous prime is 9034605211. The next prime is 9034605233. The reversal of 9034605216 is 6125064309.

It is a happy number.

9034605216 is a `hidden beast` number, since 9 + 0 + 34 + 605 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9034605211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216721 + ... + 255023.

Almost surely, 2^9034605216 is an apocalyptic number.

9034605216 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 9034605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351517952).

9034605216 is an abundant number, since it is smaller than the sum of its proper divisors (23668430688).

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

9034605216 is a wasteful number, since it uses less digits than its factorization.

9034605216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38345 (or 38328 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9034605216 is about 95050.5403246084. The cubic root of 9034605216 is about 2082.7464041400.

The spelling of 9034605216 in words is "nine billion, thirty-four million, six hundred five thousand, two hundred sixteen".