334984320 has 384 divisors, whose sum is σ = 1340426880. Its totient is φ = 76185600.

The previous prime is 334984313. The next prime is 334984343. The reversal of 334984320 is 23489433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×334984320² = 224428989291724800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076965 + ... + 1077275.

It is an arithmetic number, because the mean of its divisors is an integer number (3490695).

Almost surely, 2^334984320 is an apocalyptic number.

334984320 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 334984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670213440).

334984320 is an abundant number, since it is smaller than the sum of its proper divisors (1005442560).

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

334984320 is a wasteful number, since it uses less digits than its factorization.

334984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 334984320 is about 18302.5768677528. The cubic root of 334984320 is about 694.5041198188.

The spelling of 334984320 in words is "three hundred thirty-four million, nine hundred eighty-four thousand, three hundred twenty".