339505920 has 216 divisors, whose sum is σ = 1265571216. Its totient is φ = 83533824.

The previous prime is 339505913. The next prime is 339505961. The reversal of 339505920 is 29505933.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148627 + ... + 150893.

It is an arithmetic number, because the mean of its divisors is an integer number (5859126).

Almost surely, 2^339505920 is an apocalyptic number.

339505920 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 339505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632785608).

339505920 is an abundant number, since it is smaller than the sum of its proper divisors (926065296).

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

339505920 is a wasteful number, since it uses less digits than its factorization.

339505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 339505920 is about 18425.6864186928. The cubic root of 339505920 is about 697.6149577356.

The spelling of 339505920 in words is "three hundred thirty-nine million, five hundred five thousand, nine hundred twenty".