342816 has 24 divisors (see below), whose sum is σ = 900144. Its totient is φ = 114240.

The previous prime is 342803. The next prime is 342821. The reversal of 342816 is 618243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1690 + ... + 1881.

It is an arithmetic number, because the mean of its divisors is an integer number (37506).

2³⁴²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

342816 is an abundant number, since it is smaller than the sum of its proper divisors (557328).

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

342816 is a wasteful number, since it uses less digits than its factorization.

342816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3576 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 342816 is about 585.5049103125. The cubic root of 342816 is about 69.9874807543.

It can be divided in two parts, 34 and 2816, that added together give a triangular number (2850 = T₇₅).

The spelling of 342816 in words is "three hundred forty-two thousand, eight hundred sixteen".