3221342124 has 288 divisors, whose sum is σ = 10379174400. Its totient is φ = 770515200.

The previous prime is 3221342123. The next prime is 3221342167. The reversal of 3221342124 is 4212431223.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3221342094 and 3221342103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221342123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7651434 + ... + 7651854.

It is an arithmetic number, because the mean of its divisors is an integer number (36038800).

Almost surely, 2^3221342124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189587200).

3221342124 is an abundant number, since it is smaller than the sum of its proper divisors (7157832276).

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

3221342124 is a wasteful number, since it uses less digits than its factorization.

3221342124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 457 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3221342124 is about 56756.8685182683. The cubic root of 3221342124 is about 1476.8813872689.

Adding to 3221342124 its reverse (4212431223), we get a palindrome (7433773347).

The spelling of 3221342124 in words is "three billion, two hundred twenty-one million, three hundred forty-two thousand, one hundred twenty-four".