3468000 has 144 divisors (see below), whose sum is σ = 12068784. Its totient is φ = 870400.

The previous prime is 3467999. The next prime is 3468007. The reversal of 3468000 is 8643.

3468000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 203992 + ... + 204008.

It is an arithmetic number, because the mean of its divisors is an integer number (83811).

Almost surely, 2^3468000 is an apocalyptic number.

3468000 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 3468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034392).

3468000 is an abundant number, since it is smaller than the sum of its proper divisors (8600784).

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

3468000 is a wasteful number, since it uses less digits than its factorization.

3468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3468000 is about 1862.2566955176. The cubic root of 3468000 is about 151.3653128783.

The spelling of 3468000 in words is "three million, four hundred sixty-eight thousand".