334919040 has 256 divisors, whose sum is σ = 1170339840. Its totient is φ = 81100800.

The previous prime is 334919033. The next prime is 334919041. The reversal of 334919040 is 40919433.

It is a super-2 number, since 2×334919040² = 224341526709043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334918992 and 334919010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334919041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011675 + ... + 1012005.

It is an arithmetic number, because the mean of its divisors is an integer number (4571640).

Almost surely, 2^334919040 is an apocalyptic number.

334919040 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 334919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585169920).

334919040 is an abundant number, since it is smaller than the sum of its proper divisors (835420800).

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

334919040 is a wasteful number, since it uses less digits than its factorization.

334919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 334919040 is about 18300.7934254228. The cubic root of 334919040 is about 694.4590031057.

The spelling of 334919040 in words is "three hundred thirty-four million, nine hundred nineteen thousand, forty".