3431210200340 has 96 divisors (see below), whose sum is σ = 7987953634080. Its totient is φ = 1229819314176.

The previous prime is 3431210200331. The next prime is 3431210200349. The reversal of 3431210200340 is 430020121343.

It is an interprime number because it is at equal distance from previous prime (3431210200331) and next prime (3431210200349).

It can be written as a sum of positive squares in 16 ways, for example, as 2482880912656 + 948329287684 = 1575716^2 + 973822^2 .

It is a super-2 number, since 2×3431210200340² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431210200349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3753596 + ... + 4577324.

It is an arithmetic number, because the mean of its divisors is an integer number (83207850355).

Almost surely, 2^{3431210200340} 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 3431210200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993976817040).

3431210200340 is an abundant number, since it is smaller than the sum of its proper divisors (4556743433740).

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

3431210200340 is a wasteful number, since it uses less digits than its factorization.

3431210200340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824221 (or 824219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 3431210200340 its reverse (430020121343), we get a palindrome (3861230321683).

The spelling of 3431210200340 in words is "three trillion, four hundred thirty-one billion, two hundred ten million, two hundred thousand, three hundred forty".