334404224 has 192 divisors, whose sum is σ = 874890720. Its totient is φ = 125798400.

The previous prime is 334404221. The next prime is 334404283. The reversal of 334404224 is 422404433.

It is a super-2 number, since 2×334404224² = 223652370058084352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 334404193 and 334404202.

It is not an unprimeable number, because it can be changed into a prime (334404221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2552639 + ... + 2552769.

Almost surely, 2^334404224 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 334404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437445360).

334404224 is an abundant number, since it is smaller than the sum of its proper divisors (540486496).

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

334404224 is a wasteful number, since it uses less digits than its factorization.

334404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 334404224 is about 18286.7226150560. The cubic root of 334404224 is about 694.1029947327.

Adding to 334404224 its reverse (422404433), we get a palindrome (756808657).

The spelling of 334404224 in words is "three hundred thirty-four million, four hundred four thousand, two hundred twenty-four".