345956520 has 192 divisors, whose sum is σ = 1284923520. Its totient is φ = 72963072.

The previous prime is 345956491. The next prime is 345956531. The reversal of 345956520 is 25659543.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 140742 + ... + 143178.

It is an arithmetic number, because the mean of its divisors is an integer number (6692310).

Almost surely, 2^345956520 is an apocalyptic number.

345956520 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 345956520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642461760).

345956520 is an abundant number, since it is smaller than the sum of its proper divisors (938967000).

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

345956520 is a wasteful number, since it uses less digits than its factorization.

345956520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 345956520 is about 18599.9064513777. The cubic root of 345956520 is about 702.0054869256.

The spelling of 345956520 in words is "three hundred forty-five million, nine hundred fifty-six thousand, five hundred twenty".