334648314 has 256 divisors, whose sum is σ = 1029611520. Its totient is φ = 77760000.

The previous prime is 334648289. The next prime is 334648331. The reversal of 334648314 is 413846433.

It is a happy number.

334648314 is a `hidden beast` number, since 3 + 3 + 4 + 648 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×334648314² = 223978988126085192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2216139 + ... + 2216289.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^334648314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334648314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

334648314 is an abundant number, since it is smaller than the sum of its proper divisors (694963206).

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

334648314 is a wasteful number, since it uses less digits than its factorization.

334648314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 334648314 is about 18293.3953655411. The cubic root of 334648314 is about 694.2718346998.

The spelling of 334648314 in words is "three hundred thirty-four million, six hundred forty-eight thousand, three hundred fourteen".