3301168920 has 256 divisors, whose sum is σ = 11749294080. Its totient is φ = 726105600.

The previous prime is 3301168891. The next prime is 3301168957. The reversal of 3301168920 is 298611033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8619049 + ... + 8619431.

It is an arithmetic number, because the mean of its divisors is an integer number (45895680).

Almost surely, 2^3301168920 is an apocalyptic number.

3301168920 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 3301168920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874647040).

3301168920 is an abundant number, since it is smaller than the sum of its proper divisors (8448125160).

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

3301168920 is a wasteful number, since it uses less digits than its factorization.

3301168920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3301168920 is about 57455.7997072532. The cubic root of 3301168920 is about 1488.9813195342.

Adding to 3301168920 its reverse (298611033), we get a palindrome (3599779953).

The spelling of 3301168920 in words is "three billion, three hundred one million, one hundred sixty-eight thousand, nine hundred twenty".