3783825 has 36 divisors (see below), whose sum is σ = 6905808. Its totient is φ = 1980000.

The previous prime is 3783821. The next prime is 3783827. The reversal of 3783825 is 5283873.

It is not a de Polignac number, because 3783825 - 2² = 3783821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3783825.

It is not an unprimeable number, because it can be changed into a prime (3783821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14950 + ... + 15200.

It is an arithmetic number, because the mean of its divisors is an integer number (191828).

Almost surely, 2^3783825 is an apocalyptic number.

It is an amenable number.

3783825 is a deficient number, since it is larger than the sum of its proper divisors (3121983).

3783825 is a wasteful number, since it uses less digits than its factorization.

3783825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3783825 is about 1945.2056446556. The cubic root of 3783825 is about 155.8273484377.

It can be divided in two parts, 378 and 3825, that multiplied together give a triangular number (1445850 = T₁₇₀₀).

The spelling of 3783825 in words is "three million, seven hundred eighty-three thousand, eight hundred twenty-five".