334394676 has 192 divisors, whose sum is σ = 1096704000. Its totient is φ = 85587840.

The previous prime is 334394659. The next prime is 334394681. The reversal of 334394676 is 676493433.

It is a super-2 number, since 2×334394676² = 223639598674289952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 656710 + ... + 657218.

It is an arithmetic number, because the mean of its divisors is an integer number (5712000).

Almost surely, 2^334394676 is an apocalyptic number.

334394676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

334394676 is the 14931-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334394676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352000).

334394676 is an abundant number, since it is smaller than the sum of its proper divisors (762309324).

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

334394676 is a wasteful number, since it uses less digits than its factorization.

334394676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 334394676 is about 18286.4615494633. The cubic root of 334394676 is about 694.0963885976.

The spelling of 334394676 in words is "three hundred thirty-four million, three hundred ninety-four thousand, six hundred seventy-six".