3306885120 has 624 divisors, whose sum is σ = 14352204672. Its totient is φ = 684195840.

The previous prime is 3306885107. The next prime is 3306885121. The reversal of 3306885120 is 215886033.

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

It is not an unprimeable number, because it can be changed into a prime (3306885121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14192524 + ... + 14192756.

It is an arithmetic number, because the mean of its divisors is an integer number (23000328).

Almost surely, 2^3306885120 is an apocalyptic number.

3306885120 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 3306885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7176102336).

3306885120 is an abundant number, since it is smaller than the sum of its proper divisors (11045319552).

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

3306885120 is a wasteful number, since it uses less digits than its factorization.

3306885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3306885120 is about 57505.5225174070. The cubic root of 3306885120 is about 1489.8402483262.

The spelling of 3306885120 in words is "three billion, three hundred six million, eight hundred eighty-five thousand, one hundred twenty".