345785160 has 256 divisors, whose sum is σ = 1253376000. Its totient is φ = 76204800.

The previous prime is 345785119. The next prime is 345785171. The reversal of 345785160 is 61587543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1275825 + ... + 1276095.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2^345785160 is an apocalyptic number.

345785160 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 345785160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626688000).

345785160 is an abundant number, since it is smaller than the sum of its proper divisors (907590840).

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

345785160 is a wasteful number, since it uses less digits than its factorization.

345785160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 345785160 is about 18595.2994060327. The cubic root of 345785160 is about 701.8895614451.

The spelling of 345785160 in words is "three hundred forty-five million, seven hundred eighty-five thousand, one hundred sixty".