34368000 has 160 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 9113600.

The previous prime is 34367989. The next prime is 34368001. The reversal of 34368000 is 86343.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34368001) 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 15 ways as a sum of consecutive naturals, for example, 191911 + ... + 192089.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^34368000 is an apocalyptic number.

34368000 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 34368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

34368000 is an abundant number, since it is smaller than the sum of its proper divisors (80535360).

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

34368000 is an equidigital number, since it uses as much as digits as its factorization.

34368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34368000 is about 5862.4227073796. The cubic root of 34368000 is about 325.1257895718.

The spelling of 34368000 in words is "thirty-four million, three hundred sixty-eight thousand".