345381120 has 216 divisors, whose sum is σ = 1366013376. Its totient is φ = 78925824.

The previous prime is 345381119. The next prime is 345381149. The reversal of 345381120 is 21183543.

It is a happy number.

345381120 is a `hidden beast` number, since 3 + 4 + 538 + 1 + 120 = 666.

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, 78499 + ... + 82781.

It is an arithmetic number, because the mean of its divisors is an integer number (6324136).

Almost surely, 2^345381120 is an apocalyptic number.

345381120 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 345381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683006688).

345381120 is an abundant number, since it is smaller than the sum of its proper divisors (1020632256).

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

345381120 is a wasteful number, since it uses less digits than its factorization.

345381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 345381120 is about 18584.4321947161. The cubic root of 345381120 is about 701.6160756518.

The spelling of 345381120 in words is "three hundred forty-five million, three hundred eighty-one thousand, one hundred twenty".