345980160 has 360 divisors, whose sum is σ = 1282127616. Its totient is φ = 89026560.

The previous prime is 345980083. The next prime is 345980183. The reversal of 345980160 is 61089543.

345980160 is a `hidden beast` number, since 3 + 4 + 598 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×345980160² = 239404542227251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 4872925 + ... + 4872995.

Almost surely, 2^345980160 is an apocalyptic number.

345980160 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 345980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641063808).

345980160 is an abundant number, since it is smaller than the sum of its proper divisors (936147456).

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

345980160 is an equidigital number, since it uses as much as digits as its factorization.

345980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 345980160 is about 18600.5419275891. The cubic root of 345980160 is about 702.0214764414.

The spelling of 345980160 in words is "three hundred forty-five million, nine hundred eighty thousand, one hundred sixty".