3306044160 has 288 divisors, whose sum is σ = 11886759360. Its totient is φ = 880865280.

The previous prime is 3306044153. The next prime is 3306044171. The reversal of 3306044160 is 614406033.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2798770 + ... + 2799950.

It is an arithmetic number, because the mean of its divisors is an integer number (41273470).

Almost surely, 2^3306044160 is an apocalyptic number.

3306044160 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 3306044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943379680).

3306044160 is an abundant number, since it is smaller than the sum of its proper divisors (8580715200).

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

3306044160 is an frugal number, since it uses more digits than its factorization.

3306044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3306044160 is about 57498.2100590966. The cubic root of 3306044160 is about 1489.7139459570.

The spelling of 3306044160 in words is "three billion, three hundred six million, forty-four thousand, one hundred sixty".