345260160 has 192 divisors, whose sum is σ = 1362703680. Its totient is φ = 78907392.

The previous prime is 345260159. The next prime is 345260161. The reversal of 345260160 is 61062543.

345260160 is a `hidden beast` number, since 3 + 4 + 52 + 601 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345260159) and next prime (345260161).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (345260161) 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 23 ways as a sum of consecutive naturals, for example, 36039 + ... + 44601.

It is an arithmetic number, because the mean of its divisors is an integer number (7097415).

Almost surely, 2^345260160 is an apocalyptic number.

345260160 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 345260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681351840).

345260160 is an abundant number, since it is smaller than the sum of its proper divisors (1017443520).

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

345260160 is a wasteful number, since it uses less digits than its factorization.

345260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 345260160 is about 18581.1775730173. The cubic root of 345260160 is about 701.5341590048.

The spelling of 345260160 in words is "three hundred forty-five million, two hundred sixty thousand, one hundred sixty".