3477825 has 72 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 1612800.

The previous prime is 3477811. The next prime is 3477827. The reversal of 3477825 is 5287743.

3477825 = T₄₉₄ + T₄₉₅ + ... + T₅₂₀.

It can be written as a sum of positive squares in 12 ways, for example, as 2461761 + 1016064 = 1569^2 + 1008^2 .

It is not a de Polignac number, because 3477825 - 2⁷ = 3477697 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3477825.

It is not an unprimeable number, because it can be changed into a prime (3477827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84805 + ... + 84845.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

Almost surely, 2^3477825 is an apocalyptic number.

It is an amenable number.

3477825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3477825 is a wasteful number, since it uses less digits than its factorization.

3477825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 3477825 is about 1864.8927583108. The cubic root of 3477825 is about 151.5081196838.

The spelling of 3477825 in words is "three million, four hundred seventy-seven thousand, eight hundred twenty-five".