345352520 has 64 divisors (see below), whose sum is σ = 792633600. Its totient is φ = 135394560.

The previous prime is 345352519. The next prime is 345352523. The reversal of 345352520 is 25253543.

345352520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (345352523) 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, 786461 + ... + 786899.

It is an arithmetic number, because the mean of its divisors is an integer number (12384900).

Almost surely, 2^345352520 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 345352520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396316800).

345352520 is an abundant number, since it is smaller than the sum of its proper divisors (447281080).

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

345352520 is a wasteful number, since it uses less digits than its factorization.

345352520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 345352520 is about 18583.6627175592. The cubic root of 345352520 is about 701.5967088591.

The spelling of 345352520 in words is "three hundred forty-five million, three hundred fifty-two thousand, five hundred twenty".