345684000 has 96 divisors (see below), whose sum is σ = 1132500096. Its totient is φ = 92179200.

The previous prime is 345683993. The next prime is 345684047. The reversal of 345684000 is 486543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 2404 + ... + 26403.

It is an arithmetic number, because the mean of its divisors is an integer number (11796876).

Almost surely, 2^345684000 is an apocalyptic number.

345684000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566250048).

345684000 is an abundant number, since it is smaller than the sum of its proper divisors (786816096).

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

345684000 is a wasteful number, since it uses less digits than its factorization.

345684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28835 (or 28817 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 345684000 is about 18592.5791648173. The cubic root of 345684000 is about 701.8211084658.

The spelling of 345684000 in words is "three hundred forty-five million, six hundred eighty-four thousand".