342960768 has 96 divisors (see below), whose sum is σ = 990575040. Its totient is φ = 113895936.

The previous prime is 342960749. The next prime is 342960799. The reversal of 342960768 is 867069243.

342960768 is a `hidden beast` number, since 34 + 2 + 9 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533055 + ... + 533697.

It is an arithmetic number, because the mean of its divisors is an integer number (10318490).

Almost surely, 2^342960768 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 342960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495287520).

342960768 is an abundant number, since it is smaller than the sum of its proper divisors (647614272).

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

342960768 is a wasteful number, since it uses less digits than its factorization.

342960768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 342960768 is about 18519.1999827206. The cubic root of 342960768 is about 699.9733105470.

The spelling of 342960768 in words is "three hundred forty-two million, nine hundred sixty thousand, seven hundred sixty-eight".