339484320 has 144 divisors (see below), whose sum is σ = 1324028160. Its totient is φ = 77594112.

The previous prime is 339484309. The next prime is 339484333. The reversal of 339484320 is 23484933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 6760 + ... + 26919.

It is an arithmetic number, because the mean of its divisors is an integer number (9194640).

Almost surely, 2^339484320 is an apocalyptic number.

339484320 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 339484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662014080).

339484320 is an abundant number, since it is smaller than the sum of its proper divisors (984543840).

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

339484320 is a wasteful number, since it uses less digits than its factorization.

339484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33707 (or 33696 counting only the distinct ones).

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

The square root of 339484320 is about 18425.1002710976. The cubic root of 339484320 is about 697.6001629001.

The spelling of 339484320 in words is "three hundred thirty-nine million, four hundred eighty-four thousand, three hundred twenty".