334210968 has 256 divisors, whose sum is σ = 1169280000. Its totient is φ = 87889536.

The previous prime is 334210963. The next prime is 334210979. The reversal of 334210968 is 869012433.

It is a super-2 number, since 2×334210968² = 223393942262994048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334210963) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 962971 + ... + 963317.

It is an arithmetic number, because the mean of its divisors is an integer number (4567500).

Almost surely, 2^334210968 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 334210968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584640000).

334210968 is an abundant number, since it is smaller than the sum of its proper divisors (835069032).

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

334210968 is a wasteful number, since it uses less digits than its factorization.

334210968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 334210968 is about 18281.4377990354. The cubic root of 334210968 is about 693.9692589649.

The spelling of 334210968 in words is "three hundred thirty-four million, two hundred ten thousand, nine hundred sixty-eight".