345510160 has 80 divisors (see below), whose sum is σ = 839874816. Its totient is φ = 132056064.

The previous prime is 345510149. The next prime is 345510173. The reversal of 345510160 is 61015543.

345510160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 160612 + ... + 162748.

Almost surely, 2^345510160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345510160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419937408).

345510160 is an abundant number, since it is smaller than the sum of its proper divisors (494364656).

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

345510160 is a wasteful number, since it uses less digits than its factorization.

345510160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 345510160 is about 18587.9035934664. The cubic root of 345510160 is about 701.7034431619.

The spelling of 345510160 in words is "three hundred forty-five million, five hundred ten thousand, one hundred sixty".