345516160 has 128 divisors (see below), whose sum is σ = 954426240. Its totient is φ = 118210560.

The previous prime is 345516131. The next prime is 345516167. The reversal of 345516160 is 61615543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×345516160² = 238762833642291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345516167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118237 + ... + 121123.

It is an arithmetic number, because the mean of its divisors is an integer number (7456455).

Almost surely, 2^345516160 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 345516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477213120).

345516160 is an abundant number, since it is smaller than the sum of its proper divisors (608910080).

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

345516160 is a wasteful number, since it uses less digits than its factorization.

345516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 345516160 is about 18588.0649880508. The cubic root of 345516160 is about 701.7075049781.

The spelling of 345516160 in words is "three hundred forty-five million, five hundred sixteen thousand, one hundred sixty".