3677825 has 12 divisors (see below), whose sum is σ = 4599408. Its totient is φ = 2917200.

The previous prime is 3677819. The next prime is 3677827. The reversal of 3677825 is 5287763.

It is a happy number.

It is not a de Polignac number, because 3677825 - 2¹⁶ = 3612289 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3677827) 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, 2714 + ... + 3836.

It is an arithmetic number, because the mean of its divisors is an integer number (383284).

Almost surely, 2^3677825 is an apocalyptic number.

It is an amenable number.

3677825 is a deficient number, since it is larger than the sum of its proper divisors (921583).

3677825 is a wasteful number, since it uses less digits than its factorization.

3677825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1259 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 3677825 is about 1917.7656269732. The cubic root of 3677825 is about 154.3584303108.

It can be divided in two parts, 367 and 7825, that added together give a 13-th power (8192 = 2¹³).

The spelling of 3677825 in words is "three million, six hundred seventy-seven thousand, eight hundred twenty-five".