345201120 has 576 divisors, whose sum is σ = 1434101760. Its totient is φ = 74649600.

The previous prime is 345201091. The next prime is 345201149. The reversal of 345201120 is 21102543.

345201120 is a `hidden beast` number, since 34 + 520 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345201091) and next prime (345201149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 345201093 and 345201102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9329742 + ... + 9329778.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^345201120 is an apocalyptic number.

345201120 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 345201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

345201120 is an abundant number, since it is smaller than the sum of its proper divisors (1088900640).

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

345201120 is a wasteful number, since it uses less digits than its factorization.

345201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 345201120 is about 18579.5888006167. The cubic root of 345201120 is about 701.4941689310.

Adding to 345201120 its reverse (21102543), we get a palindrome (366303663).

The spelling of 345201120 in words is "three hundred forty-five million, two hundred one thousand, one hundred twenty".