9933834330 has 160 divisors (see below), whose sum is σ = 30584974464. Its totient is φ = 2266268544.

The previous prime is 9933834293. The next prime is 9933834331. The reversal of 9933834330 is 334383399.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9933834331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3701169 + ... + 3703851.

Almost surely, 2^9933834330 is an apocalyptic number.

9933834330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9933834330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292487232).

9933834330 is an abundant number, since it is smaller than the sum of its proper divisors (20651140134).

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

9933834330 is a wasteful number, since it uses less digits than its factorization.

9933834330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 9933834330 is about 99668.6225950775. The cubic root of 9933834330 is about 2149.6725176352.

The spelling of 9933834330 in words is "nine billion, nine hundred thirty-three million, eight hundred thirty-four thousand, three hundred thirty".