342336960 has 168 divisors, whose sum is σ = 1345789536. Its totient is φ = 78243840.

The previous prime is 342336949. The next prime is 342336979. The reversal of 342336960 is 69633243.

342336960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11670 + ... + 28650.

It is an arithmetic number, because the mean of its divisors is an integer number (8010652).

Almost surely, 2^342336960 is an apocalyptic number.

342336960 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 342336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672894768).

342336960 is an abundant number, since it is smaller than the sum of its proper divisors (1003452576).

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

342336960 is a wasteful number, since it uses less digits than its factorization.

342336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 342336960 is about 18502.3501209981. The cubic root of 342336960 is about 699.5486614342.

The spelling of 342336960 in words is "three hundred forty-two million, three hundred thirty-six thousand, nine hundred sixty".