3481600 has 84 divisors (see below), whose sum is σ = 9141714. Its totient is φ = 1310720.

The previous prime is 3481573. The next prime is 3481633. The reversal of 3481600 is 61843.

It can be written as a sum of positive squares in 3 ways, for example, as 2985984 + 495616 = 1728^2 + 704^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204792 + ... + 204808.

Almost surely, 2^3481600 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 3481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570857).

3481600 is an abundant number, since it is smaller than the sum of its proper divisors (5660114).

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

3481600 is an equidigital number, since it uses as much as digits as its factorization.

3481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3481600 is about 1865.9046063505. The cubic root of 3481600 is about 151.5629179497.

The spelling of 3481600 in words is "three million, four hundred eighty-one thousand, six hundred".