334349620768 has 96 divisors (see below), whose sum is σ = 681958569600. Its totient is φ = 161255356416.

The previous prime is 334349620753. The next prime is 334349620817. The reversal of 334349620768 is 867026943433.

It is a happy number.

It is a super-2 number, since 2×334349620768² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 177939253 + ... + 177941131.

It is an arithmetic number, because the mean of its divisors is an integer number (7103735100).

Almost surely, 2^334349620768 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 334349620768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340979284800).

334349620768 is an abundant number, since it is smaller than the sum of its proper divisors (347608948832).

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

334349620768 is a wasteful number, since it uses less digits than its factorization.

334349620768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 55.

The spelling of 334349620768 in words is "three hundred thirty-four billion, three hundred forty-nine million, six hundred twenty thousand, seven hundred sixty-eight".