3456200 has 48 divisors (see below), whose sum is σ = 8771760. Its totient is φ = 1256000.

The previous prime is 3456197. The next prime is 3456217. The reversal of 3456200 is 26543.

3456200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1415 + ... + 2985.

It is an arithmetic number, because the mean of its divisors is an integer number (182745).

Almost surely, 2^3456200 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 3456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385880).

3456200 is an abundant number, since it is smaller than the sum of its proper divisors (5315560).

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

3456200 is a wasteful number, since it uses less digits than its factorization.

3456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3456200 is about 1859.0857968367. The cubic root of 3456200 is about 151.1934424150.

The spelling of 3456200 in words is "three million, four hundred fifty-six thousand, two hundred".