320349120 has 448 divisors, whose sum is σ = 1324538880. Its totient is φ = 63700992.

The previous prime is 320349091. The next prime is 320349143. The reversal of 320349120 is 21943023.

320349120 = T₄₂₆₁ + T₄₂₆₂ + ... + T₄₂₉₅.

320349120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659744 + ... + 1659936.

It is an arithmetic number, because the mean of its divisors is an integer number (2956560).

Almost surely, 2^320349120 is an apocalyptic number.

320349120 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 320349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662269440).

320349120 is an abundant number, since it is smaller than the sum of its proper divisors (1004189760).

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

320349120 is a wasteful number, since it uses less digits than its factorization.

320349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 320349120 is about 17898.2993605538. The cubic root of 320349120 is about 684.2390327664.

The spelling of 320349120 in words is "three hundred twenty million, three hundred forty-nine thousand, one hundred twenty".