3485600 has 36 divisors (see below), whose sum is σ = 8511174. Its totient is φ = 1393920.

The previous prime is 3485593. The next prime is 3485617. The reversal of 3485600 is 65843.

3485600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3400336 + 85264 = 1844^2 + 292^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3485600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1379 + ... + 2978.

Almost surely, 2^3485600 is an apocalyptic number.

It is an amenable number.

3485600 is an abundant number, since it is smaller than the sum of its proper divisors (5025574).

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

3485600 is a wasteful number, since it uses less digits than its factorization.

3485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3485600 is about 1866.9761648184. The cubic root of 3485600 is about 151.6209391322.

The spelling of 3485600 in words is "three million, four hundred eighty-five thousand, six hundred".