342141360 has 240 divisors, whose sum is σ = 1224564480. Its totient is φ = 78359040.

The previous prime is 342141323. The next prime is 342141377. The reversal of 342141360 is 63141243.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 342141360.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952861 + ... + 953219.

It is an arithmetic number, because the mean of its divisors is an integer number (5102352).

Almost surely, 2^342141360 is an apocalyptic number.

342141360 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 342141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612282240).

342141360 is an abundant number, since it is smaller than the sum of its proper divisors (882423120).

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

342141360 is a wasteful number, since it uses less digits than its factorization.

342141360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 342141360 is about 18497.0635507369. The cubic root of 342141360 is about 699.4154030730.

The spelling of 342141360 in words is "three hundred forty-two million, one hundred forty-one thousand, three hundred sixty".