342760000 has 280 divisors, whose sum is σ = 999804960. Its totient is φ = 115200000.

The previous prime is 342759979. The next prime is 342760027. The reversal of 342760000 is 67243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8359980 + ... + 8360020.

It is an arithmetic number, because the mean of its divisors is an integer number (3570732).

Almost surely, 2^342760000 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 342760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499902480).

342760000 is an abundant number, since it is smaller than the sum of its proper divisors (657044960).

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

342760000 is a wasteful number, since it uses less digits than its factorization.

342760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 342760000 is about 18513.7786526684. The cubic root of 342760000 is about 699.8366965997.

The spelling of 342760000 in words is "three hundred forty-two million, seven hundred sixty thousand".