3485200 has 30 divisors (see below), whose sum is σ = 8374154. Its totient is φ = 1393920.

The previous prime is 3485197. The next prime is 3485203. The reversal of 3485200 is 25843.

It is an interprime number because it is at equal distance from previous prime (3485197) and next prime (3485203).

It can be written as a sum of positive squares in 3 ways, for example, as 976144 + 2509056 = 988^2 + 1584^2 .

It is not an unprimeable number, because it can be changed into a prime (3485203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3957 + ... + 4756.

Almost surely, 2^3485200 is an apocalyptic number.

It is an amenable number.

3485200 is an abundant number, since it is smaller than the sum of its proper divisors (4888954).

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

3485200 is a wasteful number, since it uses less digits than its factorization.

3485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 3485200 is about 1866.8690366493. The cubic root of 3485200 is about 151.6151390121.

The spelling of 3485200 in words is "three million, four hundred eighty-five thousand, two hundred".