334020371328 has 960 divisors, whose sum is σ = 1210234798080. Its totient is φ = 91079976960.

The previous prime is 334020371323. The next prime is 334020371341. The reversal of 334020371328 is 823173020433.

It is a super-2 number, since 2×334020371328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334020371292 and 334020371301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334020371323) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2000121901 + ... + 2000122067.

It is an arithmetic number, because the mean of its divisors is an integer number (1260661248).

Almost surely, 2^334020371328 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 334020371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605117399040).

334020371328 is an abundant number, since it is smaller than the sum of its proper divisors (876214426752).

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

334020371328 is a wasteful number, since it uses less digits than its factorization.

334020371328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 334020371328 in words is "three hundred thirty-four billion, twenty million, three hundred seventy-one thousand, three hundred twenty-eight".