345837360 has 120 divisors (see below), whose sum is σ = 1178518320. Its totient is φ = 83832320.

The previous prime is 345837343. The next prime is 345837367. The reversal of 345837360 is 63738543.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (345837367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23086 + ... + 34994.

It is an arithmetic number, because the mean of its divisors is an integer number (9820986).

Almost surely, 2^345837360 is an apocalyptic number.

345837360 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 345837360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589259160).

345837360 is an abundant number, since it is smaller than the sum of its proper divisors (832680960).

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

345837360 is a wasteful number, since it uses less digits than its factorization.

345837360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11947 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 345837360 is about 18596.7029335848. The cubic root of 345837360 is about 701.9248789349.

The spelling of 345837360 in words is "three hundred forty-five million, eight hundred thirty-seven thousand, three hundred sixty".