3220305120 has 192 divisors, whose sum is σ = 11321856000. Its totient is φ = 854880768.

The previous prime is 3220305119. The next prime is 3220305139. The reversal of 3220305120 is 215030223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3220305093 and 3220305102.

It is a congruent number.

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, 1030921 + ... + 1034039.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 2^3220305120 is an apocalyptic number.

3220305120 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 3220305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

3220305120 is an abundant number, since it is smaller than the sum of its proper divisors (8101550880).

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

3220305120 is a wasteful number, since it uses less digits than its factorization.

3220305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3220305120 is about 56747.7322894933. The cubic root of 3220305120 is about 1476.7228926396.

Adding to 3220305120 its reverse (215030223), we get a palindrome (3435335343).

The spelling of 3220305120 in words is "three billion, two hundred twenty million, three hundred five thousand, one hundred twenty".