3221332020 has 72 divisors (see below), whose sum is σ = 9794814120. Its totient is φ = 856961280.

The previous prime is 3221332003. The next prime is 3221332027. The reversal of 3221332020 is 202331223.

It is a happy number.

3221332020 is a `hidden beast` number, since 322 + 1 + 3 + 320 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 196112016 + 3025220004 = 14004^2 + 55002^2 .

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 = 3221331984 and 3221332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221332027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54526 + ... + 97034.

It is an arithmetic number, because the mean of its divisors is an integer number (136039085).

Almost surely, 2^3221332020 is an apocalyptic number.

3221332020 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 3221332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897407060).

3221332020 is an abundant number, since it is smaller than the sum of its proper divisors (6573482100).

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

3221332020 is a wasteful number, since it uses less digits than its factorization.

3221332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42945 (or 42940 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3221332020 is about 56756.7795069452. The cubic root of 3221332020 is about 1476.8798431480.

Adding to 3221332020 its reverse (202331223), we get a palindrome (3423663243).

It can be divided in two parts, 3221 and 332020, that added together give a square (335241 = 579²).

The spelling of 3221332020 in words is "three billion, two hundred twenty-one million, three hundred thirty-two thousand, twenty".