345827160 has 192 divisors, whose sum is σ = 1319572800. Its totient is φ = 76889088.

The previous prime is 345827159. The next prime is 345827177. The reversal of 345827160 is 61728543.

345827160 = T₂₈₁ + T₂₈₂ + ... + T₁₂₇₉.

345827160 is a `hidden beast` number, since 3 + 4 + 582 + 71 + 6 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91386 + ... + 95094.

It is an arithmetic number, because the mean of its divisors is an integer number (6872775).

Almost surely, 2^345827160 is an apocalyptic number.

345827160 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 345827160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659786400).

345827160 is an abundant number, since it is smaller than the sum of its proper divisors (973745640).

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

345827160 is a wasteful number, since it uses less digits than its factorization.

345827160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 345827160 is about 18596.4286894016. The cubic root of 345827160 is about 701.9179780956.

The spelling of 345827160 in words is "three hundred forty-five million, eight hundred twenty-seven thousand, one hundred sixty".