342016000 has 120 divisors (see below), whose sum is σ = 858757536. Its totient is φ = 135987200.

The previous prime is 342015991. The next prime is 342016001. The reversal of 342016000 is 610243.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (342016001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047917 + ... + 2048083.

Almost surely, 2^342016000 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 342016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429378768).

342016000 is an abundant number, since it is smaller than the sum of its proper divisors (516741536).

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

342016000 is an frugal number, since it uses more digits than its factorization.

342016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 342016000 is about 18493.6745943039. The cubic root of 342016000 is about 699.3299711085.

Adding to 342016000 its reverse (610243), we get a palindrome (342626243).

The spelling of 342016000 in words is "three hundred forty-two million, sixteen thousand".