4345120 has 48 divisors (see below), whose sum is σ = 11060280. Its totient is φ = 1603584.

The previous prime is 4345111. The next prime is 4345127. The reversal of 4345120 is 215434.

It can be written as a sum of positive squares in 4 ways, for example, as 3549456 + 795664 = 1884^2 + 892^2 .

It is not an unprimeable number, because it can be changed into a prime (4345127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1036 + ... + 3124.

Almost surely, 2^4345120 is an apocalyptic number.

4345120 is a gapful number since it is divisible by the number (40) 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 4345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530140).

4345120 is an abundant number, since it is smaller than the sum of its proper divisors (6715160).

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

4345120 is a wasteful number, since it uses less digits than its factorization.

4345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4345120 is about 2084.4951427144. The cubic root of 4345120 is about 163.1801238129.

It can be divided in two parts, 4345 and 120, that added together give a triangular number (4465 = T₉₄).

The spelling of 4345120 in words is "four million, three hundred forty-five thousand, one hundred twenty".