334032141344 has 96 divisors (see below), whose sum is σ = 739742092992. Its totient is φ = 147139200000.

The previous prime is 334032141341. The next prime is 334032141371. The reversal of 334032141344 is 443141230433.

It is a super-2 number, since 2×334032141344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 334032141344.

It is not an unprimeable number, because it can be changed into a prime (334032141341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3217934 + ... + 3320114.

It is an arithmetic number, because the mean of its divisors is an integer number (7705646802).

Almost surely, 2^334032141344 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 334032141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369871046496).

334032141344 is an abundant number, since it is smaller than the sum of its proper divisors (405709951648).

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

334032141344 is a wasteful number, since it uses less digits than its factorization.

334032141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102490 (or 102482 counting only the distinct ones).

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

Adding to 334032141344 its reverse (443141230433), we get a palindrome (777173371777).

The spelling of 334032141344 in words is "three hundred thirty-four billion, thirty-two million, one hundred forty-one thousand, three hundred forty-four".