344030431243100 has 144 divisors (see below), whose sum is σ = 859529528256000. Its totient is φ = 117080443941120.

The previous prime is 344030431243007. The next prime is 344030431243133. The reversal of 344030431243100 is 1342134030443.

It is a super-2 number, since 2×344030431243100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55419554 + ... + 61313846.

Almost surely, 2^{344030431243100} 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 344030431243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429764764128000).

344030431243100 is an abundant number, since it is smaller than the sum of its proper divisors (515499097012900).

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

344030431243100 is a wasteful number, since it uses less digits than its factorization.

344030431243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894932 (or 5894925 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 344030431243100 its reverse (1342134030443), we get a palindrome (345372565273543).

The spelling of 344030431243100 in words is "three hundred forty-four trillion, thirty billion, four hundred thirty-one million, two hundred forty-three thousand, one hundred".