342364000 has 192 divisors, whose sum is σ = 951035904. Its totient is φ = 120000000.

The previous prime is 342363991. The next prime is 342364013. The reversal of 342364000 is 463243.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1363875 + ... + 1364125.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2^342364000 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 342364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

342364000 is an abundant number, since it is smaller than the sum of its proper divisors (608671904).

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

342364000 is a wasteful number, since it uses less digits than its factorization.

342364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 342364000 is about 18503.0808245546. The cubic root of 342364000 is about 699.5670792506.

The spelling of 342364000 in words is "three hundred forty-two million, three hundred sixty-four thousand".