3431313440 has 96 divisors (see below), whose sum is σ = 8279470080. Its totient is φ = 1343462400.

The previous prime is 3431313433. The next prime is 3431313449. The reversal of 3431313440 is 443131343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3431313449) 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 15 ways as a sum of consecutive naturals, for example, 2331905 + ... + 2333375.

It is an arithmetic number, because the mean of its divisors is an integer number (86244480).

Almost surely, 2^3431313440 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 3431313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139735040).

3431313440 is an abundant number, since it is smaller than the sum of its proper divisors (4848156640).

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

3431313440 is a wasteful number, since it uses less digits than its factorization.

3431313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3431313440 is about 58577.4140774411. The cubic root of 3431313440 is about 1508.2967564634.

Adding to 3431313440 its reverse (443131343), we get a palindrome (3874444783).

The spelling of 3431313440 in words is "three billion, four hundred thirty-one million, three hundred thirteen thousand, four hundred forty".