3485800 has 48 divisors (see below), whose sum is σ = 8397900. Its totient is φ = 1344000.

The previous prime is 3485789. The next prime is 3485803. The reversal of 3485800 is 85843.

It can be written as a sum of positive squares in 6 ways, for example, as 1943236 + 1542564 = 1394^2 + 1242^2 .

It is not an unprimeable number, because it can be changed into a prime (3485803) 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, 5500 + ... + 6100.

Almost surely, 2^3485800 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 3485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198950).

3485800 is an abundant number, since it is smaller than the sum of its proper divisors (4912100).

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

3485800 is a wasteful number, since it uses less digits than its factorization.

3485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 3485800 is about 1867.0297265978. The cubic root of 3485800 is about 151.6238390258.

The spelling of 3485800 in words is "three million, four hundred eighty-five thousand, eight hundred".