3472200 has 96 divisors (see below), whose sum is σ = 11978400. Its totient is φ = 924480.

The previous prime is 3472177. The next prime is 3472211. The reversal of 3472200 is 22743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5079 + ... + 5721.

It is an arithmetic number, because the mean of its divisors is an integer number (124775).

Almost surely, 2^3472200 is an apocalyptic number.

3472200 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 3472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989200).

3472200 is an abundant number, since it is smaller than the sum of its proper divisors (8506200).

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

3472200 is a wasteful number, since it uses less digits than its factorization.

3472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3472200 is about 1863.3840183923. The cubic root of 3472200 is about 151.4263930250.

Adding to 3472200 its reverse (22743), we get a palindrome (3494943).

The spelling of 3472200 in words is "three million, four hundred seventy-two thousand, two hundred".