344241331134032 has 80 divisors (see below), whose sum is σ = 712186557321600. Its totient is φ = 160713760112640.

The previous prime is 344241331134007. The next prime is 344241331134067. The reversal of 344241331134032 is 230431133142443.

It is a super-2 number, since 2×344241331134032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65166944 + ... + 70251072.

It is an arithmetic number, because the mean of its divisors is an integer number (8902331966520).

Almost surely, 2^{344241331134032} 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 344241331134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356093278660800).

344241331134032 is an abundant number, since it is smaller than the sum of its proper divisors (367945226187568).

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

344241331134032 is a wasteful number, since it uses less digits than its factorization.

344241331134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087364 (or 5087358 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 344241331134032 its reverse (230431133142443), we get a palindrome (574672464276475).

The spelling of 344241331134032 in words is "three hundred forty-four trillion, two hundred forty-one billion, three hundred thirty-one million, one hundred thirty-four thousand, thirty-two".