3468800 has 60 divisors (see below), whose sum is σ = 8625936. Its totient is φ = 1382400.

The previous prime is 3468781. The next prime is 3468821. The reversal of 3468800 is 88643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12665 + ... + 12935.

Almost surely, 2^3468800 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 3468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312968).

3468800 is an abundant number, since it is smaller than the sum of its proper divisors (5157136).

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

3468800 is an equidigital number, since it uses as much as digits as its factorization.

3468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3468800 is about 1862.4714762917. The cubic root of 3468800 is about 151.3769509925.

The spelling of 3468800 in words is "three million, four hundred sixty-eight thousand, eight hundred".