3413200 has 120 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 1098240.

The previous prime is 3413197. The next prime is 3413227. The reversal of 3413200 is 23143.

It is a congruent number.

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, 64374 + ... + 64426.

Almost surely, 2^3413200 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 3413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

3413200 is an abundant number, since it is smaller than the sum of its proper divisors (6550448).

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

3413200 is a wasteful number, since it uses less digits than its factorization.

3413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3413200 is about 1847.4847766626. The cubic root of 3413200 is about 150.5638041037.

Adding to 3413200 its reverse (23143), we get a palindrome (3436343).

The spelling of 3413200 in words is "three million, four hundred thirteen thousand, two hundred".