345878160 has 80 divisors (see below), whose sum is σ = 1106833920. Its totient is φ = 89256960.

The previous prime is 345878089. The next prime is 345878177. The reversal of 345878160 is 61878543.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15805 + ... + 30684.

It is an arithmetic number, because the mean of its divisors is an integer number (13835424).

Almost surely, 2^345878160 is an apocalyptic number.

345878160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345878160 is an abundant number, since it is smaller than the sum of its proper divisors (760955760).

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

345878160 is a wasteful number, since it uses less digits than its factorization.

345878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46536 (or 46530 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 345878160 is about 18597.7998698771. The cubic root of 345878160 is about 701.9524809354.

It can be divided in two parts, 3458 and 78160, that added together give a palindrome (81618).

The spelling of 345878160 in words is "three hundred forty-five million, eight hundred seventy-eight thousand, one hundred sixty".