345318080 has 112 divisors (see below), whose sum is σ = 860267520. Its totient is φ = 131862528.

The previous prime is 345318073. The next prime is 345318107. The reversal of 345318080 is 80813543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1178414 + ... + 1178706.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2^345318080 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 345318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430133760).

345318080 is an abundant number, since it is smaller than the sum of its proper divisors (514949440).

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

345318080 is a wasteful number, since it uses less digits than its factorization.

345318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 345318080 is about 18582.7360741092. The cubic root of 345318080 is about 701.5733860296.

The spelling of 345318080 in words is "three hundred forty-five million, three hundred eighteen thousand, eighty".