334385920 has 216 divisors, whose sum is σ = 939520512. Its totient is φ = 113541120.

The previous prime is 334385867. The next prime is 334385927. The reversal of 334385920 is 29583433.

It is a super-2 number, since 2×334385920² = 223627886988492800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334385920.

It is not an unprimeable number, because it can be changed into a prime (334385927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2632897 + ... + 2633023.

It is an arithmetic number, because the mean of its divisors is an integer number (4349632).

Almost surely, 2^334385920 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 334385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469760256).

334385920 is an abundant number, since it is smaller than the sum of its proper divisors (605134592).

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

334385920 is a wasteful number, since it uses less digits than its factorization.

334385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 334385920 is about 18286.2221358049. Note that the first 3 decimals coincide. The cubic root of 334385920 is about 694.0903303263.

The spelling of 334385920 in words is "three hundred thirty-four million, three hundred eighty-five thousand, nine hundred twenty".