3202120320 has 256 divisors, whose sum is σ = 11800339200. Its totient is φ = 723419136.

The previous prime is 3202120319. The next prime is 3202120333. The reversal of 3202120320 is 230212023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3202120320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1194822 + ... + 1197498.

It is an arithmetic number, because the mean of its divisors is an integer number (46095075).

Almost surely, 2^3202120320 is an apocalyptic number.

3202120320 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 3202120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900169600).

3202120320 is an abundant number, since it is smaller than the sum of its proper divisors (8598218880).

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

3202120320 is a wasteful number, since it uses less digits than its factorization.

3202120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3202120320 is about 56587.2805496076. The cubic root of 3202120320 is about 1473.9379994995.

Adding to 3202120320 its reverse (230212023), we get a palindrome (3432332343).

The spelling of 3202120320 in words is "three billion, two hundred two million, one hundred twenty thousand, three hundred twenty".