3201322020 has 192 divisors, whose sum is σ = 10306953216. Its totient is φ = 735436800.

The previous prime is 3201321983. The next prime is 3201322049. The reversal of 3201322020 is 202231023.

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

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, 1683070 + ... + 1684970.

It is an arithmetic number, because the mean of its divisors is an integer number (53682048).

Almost surely, 2^3201322020 is an apocalyptic number.

3201322020 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 3201322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153476608).

3201322020 is an abundant number, since it is smaller than the sum of its proper divisors (7105631196).

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

3201322020 is a wasteful number, since it uses less digits than its factorization.

3201322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2068 counting only the distinct ones).

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

The square root of 3201322020 is about 56580.2264046372. The cubic root of 3201322020 is about 1473.8155033218.

Adding to 3201322020 its reverse (202231023), we get a palindrome (3403553043).

It can be divided in two parts, 3201 and 322020, that added together give a triangular number (325221 = T₈₀₆).

The spelling of 3201322020 in words is "three billion, two hundred one million, three hundred twenty-two thousand, twenty".