345841320 has 128 divisors (see below), whose sum is σ = 1141309440. Its totient is φ = 83139840.

The previous prime is 345841291. The next prime is 345841339. The reversal of 345841320 is 23148543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166609 + ... + 168671.

It is an arithmetic number, because the mean of its divisors is an integer number (8916480).

Almost surely, 2^345841320 is an apocalyptic number.

345841320 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 345841320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570654720).

345841320 is an abundant number, since it is smaller than the sum of its proper divisors (795468120).

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

345841320 is a wasteful number, since it uses less digits than its factorization.

345841320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 345841320 is about 18596.8094037660. The cubic root of 345841320 is about 701.9275580477.

Adding to 345841320 its reverse (23148543), we get a palindrome (368989863).

The spelling of 345841320 in words is "three hundred forty-five million, eight hundred forty-one thousand, three hundred twenty".