3125200 has 60 divisors (see below), whose sum is σ = 8099308. Its totient is φ = 1152000.

The previous prime is 3125191. The next prime is 3125209. The reversal of 3125200 is 25213.

It is an interprime number because it is at equal distance from previous prime (3125191) and next prime (3125209).

It can be written as a sum of positive squares in 6 ways, for example, as 69696 + 3055504 = 264^2 + 1748^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4900 + ... + 5500.

Almost surely, 2^3125200 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 3125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049654).

3125200 is an abundant number, since it is smaller than the sum of its proper divisors (4974108).

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

3125200 is a wasteful number, since it uses less digits than its factorization.

3125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3125200 is about 1767.8235206038. The cubic root of 3125200 is about 146.2040057964.

Adding to 3125200 its sum of digits (13), we get a palindrome (3125213).

The spelling of 3125200 in words is "three million, one hundred twenty-five thousand, two hundred".