342360720 has 240 divisors, whose sum is σ = 1256586240. Its totient is φ = 83026944.

The previous prime is 342360713. The next prime is 342360749. The reversal of 342360720 is 27063243.

342360720 is a `hidden beast` number, since 34 + 2 + 3 + 607 + 20 = 666.

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

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, 739209 + ... + 739671.

It is an arithmetic number, because the mean of its divisors is an integer number (5235776).

Almost surely, 2^342360720 is an apocalyptic number.

342360720 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 342360720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628293120).

342360720 is an abundant number, since it is smaller than the sum of its proper divisors (914225520).

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

342360720 is a wasteful number, since it uses less digits than its factorization.

342360720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 342360720 is about 18502.9921904540. The cubic root of 342360720 is about 699.5648451884.

The spelling of 342360720 in words is "three hundred forty-two million, three hundred sixty thousand, seven hundred twenty".