3300034120 has 128 divisors (see below), whose sum is σ = 7884540000. Its totient is φ = 1241210880.

The previous prime is 3300034099. The next prime is 3300034121. The reversal of 3300034120 is 214300033.

It can be written as a sum of positive squares in 16 ways, for example, as 868952484 + 2431081636 = 29478^2 + 49306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3300034094 and 3300034103.

It is not an unprimeable number, because it can be changed into a prime (3300034121) 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, 10543084 + ... + 10543396.

Almost surely, 2^3300034120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942270000).

3300034120 is an abundant number, since it is smaller than the sum of its proper divisors (4584505880).

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

3300034120 is a wasteful number, since it uses less digits than its factorization.

3300034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3300034120 is about 57445.9234410937. The cubic root of 3300034120 is about 1488.8106840518.

Adding to 3300034120 its reverse (214300033), we get a palindrome (3514334153).

The spelling of 3300034120 in words is "three billion, three hundred million, thirty-four thousand, one hundred twenty".