3306145920 has 768 divisors, whose sum is σ = 14065228800. Its totient is φ = 644751360.

The previous prime is 3306145891. The next prime is 3306145933. The reversal of 3306145920 is 295416033.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30898507 + ... + 30898613.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^3306145920 is an apocalyptic number.

3306145920 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 3306145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

3306145920 is an abundant number, since it is smaller than the sum of its proper divisors (10759082880).

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

3306145920 is a wasteful number, since it uses less digits than its factorization.

3306145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3306145920 is about 57499.0949493990. The cubic root of 3306145920 is about 1489.7292302593.

The spelling of 3306145920 in words is "three billion, three hundred six million, one hundred forty-five thousand, nine hundred twenty".