3305153000 has 64 divisors (see below), whose sum is σ = 7755667920. Its totient is φ = 1318368000.

The previous prime is 3305152973. The next prime is 3305153003. The reversal of 3305153000 is 3515033.

It can be written as a sum of positive squares in 8 ways, for example, as 877225924 + 2427927076 = 29618^2 + 49274^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3305153003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368570 + ... + 377430.

Almost surely, 2^3305153000 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 3305153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877833960).

3305153000 is an abundant number, since it is smaller than the sum of its proper divisors (4450514920).

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

3305153000 is a wasteful number, since it uses less digits than its factorization.

3305153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 20.

The square root of 3305153000 is about 57490.4600781730. The cubic root of 3305153000 is about 1489.5800807575.

Adding to 3305153000 its reverse (3515033), we get a palindrome (3308668033).

The spelling of 3305153000 in words is "three billion, three hundred five million, one hundred fifty-three thousand".