334396080 has 320 divisors, whose sum is σ = 1234206720. Its totient is φ = 83026944.

The previous prime is 334396063. The next prime is 334396093. The reversal of 334396080 is 80693433.

334396080 is a `hidden beast` number, since 3 + 3 + 43 + 9 + 608 + 0 = 666.

It is a super-2 number, since 2×334396080² = 223641476638732800, 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 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, 2632977 + ... + 2633103.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2^334396080 is an apocalyptic number.

334396080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334396080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617103360).

334396080 is an abundant number, since it is smaller than the sum of its proper divisors (899810640).

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

334396080 is a wasteful number, since it uses less digits than its factorization.

334396080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 334396080 is about 18286.4999384792. The cubic root of 334396080 is about 694.0973600145.

The spelling of 334396080 in words is "three hundred thirty-four million, three hundred ninety-six thousand, eighty".