3788325 has 36 divisors (see below), whose sum is σ = 6891300. Its totient is φ = 1989120.

The previous prime is 3788321. The next prime is 3788329. The reversal of 3788325 is 5238873.

It is an interprime number because it is at equal distance from previous prime (3788321) and next prime (3788329).

It can be written as a sum of positive squares in 6 ways, for example, as 1520289 + 2268036 = 1233^2 + 1506^2 .

It is not a de Polignac number, because 3788325 - 2² = 3788321 is a prime.

It is a Curzon number.

3788325 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3788325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3788321) 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, 25351 + ... + 25499.

It is an arithmetic number, because the mean of its divisors is an integer number (191425).

Almost surely, 2^3788325 is an apocalyptic number.

It is an amenable number.

3788325 is a deficient number, since it is larger than the sum of its proper divisors (3102975).

3788325 is a wasteful number, since it uses less digits than its factorization.

3788325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

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

The square root of 3788325 is about 1946.3619909976. The cubic root of 3788325 is about 155.8890977055.

The spelling of 3788325 in words is "three million, seven hundred eighty-eight thousand, three hundred twenty-five".