345791160 has 256 divisors, whose sum is σ = 1354752000. Its totient is φ = 77345280.

The previous prime is 345791119. The next prime is 345791179. The reversal of 345791160 is 61197543.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153321 + ... + 155559.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^345791160 is an apocalyptic number.

345791160 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 345791160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

345791160 is an abundant number, since it is smaller than the sum of its proper divisors (1008960840).

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

345791160 is a wasteful number, since it uses less digits than its factorization.

345791160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 345791160 is about 18595.4607364270. The cubic root of 345791160 is about 701.8936211075.

The spelling of 345791160 in words is "three hundred forty-five million, seven hundred ninety-one thousand, one hundred sixty".