342736000 has 128 divisors (see below), whose sum is σ = 880888320. Its totient is φ = 132480000.

The previous prime is 342735983. The next prime is 342736019. The reversal of 342736000 is 637243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 495655 + ... + 496345.

It is an arithmetic number, because the mean of its divisors is an integer number (6881940).

Almost surely, 2^342736000 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 342736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440444160).

342736000 is an abundant number, since it is smaller than the sum of its proper divisors (538152320).

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

342736000 is an equidigital number, since it uses as much as digits as its factorization.

342736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 342736000 is about 18513.1304754220. The cubic root of 342736000 is about 699.8203620675.

The spelling of 342736000 in words is "three hundred forty-two million, seven hundred thirty-six thousand".