3306121920 has 672 divisors, whose sum is σ = 13000792896. Its totient is φ = 796262400.

The previous prime is 3306121909. The next prime is 3306121933. The reversal of 3306121920 is 291216033.

3306121920 is a `hidden beast` number, since 3 + 30 + 612 + 19 + 2 + 0 = 666.

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

It is a congruent number.

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, 54198690 + ... + 54198750.

It is an arithmetic number, because the mean of its divisors is an integer number (19346418).

Almost surely, 2^3306121920 is an apocalyptic number.

3306121920 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 3306121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500396448).

3306121920 is an abundant number, since it is smaller than the sum of its proper divisors (9694670976).

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

3306121920 is a wasteful number, since it uses less digits than its factorization.

3306121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3306121920 is about 57498.8862500831. The cubic root of 3306121920 is about 1489.7256254993.

Adding to 3306121920 its reverse (291216033), we get a palindrome (3597337953).

The spelling of 3306121920 in words is "three billion, three hundred six million, one hundred twenty-one thousand, nine hundred twenty".