334933920 has 384 divisors, whose sum is σ = 1259919360. Its totient is φ = 82944000.

The previous prime is 334933903. The next prime is 334933987. The reversal of 334933920 is 29339433.

It is a super-2 number, since 2×334933920² = 224361461533132800, 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 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, 5490690 + ... + 5490750.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^334933920 is an apocalyptic number.

334933920 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 334933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

334933920 is an abundant number, since it is smaller than the sum of its proper divisors (924985440).

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

334933920 is a wasteful number, since it uses less digits than its factorization.

334933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 334933920 is about 18301.1999606583. The cubic root of 334933920 is about 694.4692875782.

The spelling of 334933920 in words is "three hundred thirty-four million, nine hundred thirty-three thousand, nine hundred twenty".