342561520 has 80 divisors (see below), whose sum is σ = 919226880. Its totient is φ = 116289792.

The previous prime is 342561491. The next prime is 342561529. The reversal of 342561520 is 25165243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342561529) 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 15 ways as a sum of consecutive naturals, for example, 54711 + ... + 60649.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^342561520 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 342561520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

342561520 is an abundant number, since it is smaller than the sum of its proper divisors (576665360).

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

342561520 is a wasteful number, since it uses less digits than its factorization.

342561520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 342561520 is about 18508.4175444580. The cubic root of 342561520 is about 699.7015870891.

The spelling of 342561520 in words is "three hundred forty-two million, five hundred sixty-one thousand, five hundred twenty".