3431222340 has 384 divisors, whose sum is σ = 12517908480. Its totient is φ = 682463232.

The previous prime is 3431222339. The next prime is 3431222341. The reversal of 3431222340 is 432221343.

It is an interprime number because it is at equal distance from previous prime (3431222339) and next prime (3431222341).

It is a super-3 number, since 3×3431222340³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3431222340.

It is not an unprimeable number, because it can be changed into a prime (3431222341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11176467 + ... + 11176773.

It is an arithmetic number, because the mean of its divisors is an integer number (32598720).

Almost surely, 2^3431222340 is an apocalyptic number.

3431222340 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 3431222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258954240).

3431222340 is an abundant number, since it is smaller than the sum of its proper divisors (9086686140).

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

3431222340 is a wasteful number, since it uses less digits than its factorization.

3431222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3431222340 is about 58576.6364688175. The cubic root of 3431222340 is about 1508.2834081200.

Adding to 3431222340 its reverse (432221343), we get a palindrome (3863443683).

The spelling of 3431222340 in words is "three billion, four hundred thirty-one million, two hundred twenty-two thousand, three hundred forty".