334350141720 has 384 divisors, whose sum is σ = 1251421228800. Its totient is φ = 71033324544.

The previous prime is 334350141691. The next prime is 334350141731. The reversal of 334350141720 is 27141053433.

It is a happy number.

It is a super-2 number, since 2×334350141720² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5892927 + ... + 5949393.

It is an arithmetic number, because the mean of its divisors is an integer number (3258909450).

Almost surely, 2^334350141720 is an apocalyptic number.

334350141720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334350141720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625710614400).

334350141720 is an abundant number, since it is smaller than the sum of its proper divisors (917071087080).

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

334350141720 is a wasteful number, since it uses less digits than its factorization.

334350141720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56567 (or 56556 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 334350141720 in words is "three hundred thirty-four billion, three hundred fifty million, one hundred forty-one thousand, seven hundred twenty".