3033169920 has 576 divisors, whose sum is σ = 12237481620. Its totient is φ = 692060160.

The previous prime is 3033169907. The next prime is 3033169963. The reversal of 3033169920 is 299613303.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3015327744 + 17842176 = 54912^2 + 4224^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178421752 + ... + 178421768.

Almost surely, 2^3033169920 is an apocalyptic number.

3033169920 is a gapful number since it is divisible by the number (30) 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 3033169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118740810).

3033169920 is an abundant number, since it is smaller than the sum of its proper divisors (9204311700).

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

3033169920 is a wasteful number, since it uses less digits than its factorization.

3033169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3033169920 is about 55074.2219191520. The cubic root of 3033169920 is about 1447.5455774171.

It can be divided in two parts, 303316 and 9920, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 3033169920 in words is "three billion, thirty-three million, one hundred sixty-nine thousand, nine hundred twenty".