3461200 has 60 divisors (see below), whose sum is σ = 8821980. Its totient is φ = 1300480.

The previous prime is 3461197. The next prime is 3461203. The reversal of 3461200 is 21643.

3461200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3461197) and next prime (3461203).

It can be written as a sum of positive squares in 6 ways, for example, as 104976 + 3356224 = 324^2 + 1832^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461203) 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, 6546 + ... + 7054.

It is an arithmetic number, because the mean of its divisors is an integer number (147033).

Almost surely, 2^3461200 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 3461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410990).

3461200 is an abundant number, since it is smaller than the sum of its proper divisors (5360780).

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

3461200 is a wasteful number, since it uses less digits than its factorization.

3461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3461200 is about 1860.4300578092. The cubic root of 3461200 is about 151.2663165695.

Adding to 3461200 its reverse (21643), we get a palindrome (3482843).

The spelling of 3461200 in words is "three million, four hundred sixty-one thousand, two hundred".