3782625 has 64 divisors (see below), whose sum is σ = 7907328. Its totient is φ = 1560000.

The previous prime is 3782617. The next prime is 3782629. The reversal of 3782625 is 5262873.

3782625 is a nontrivial binomial coefficient, being equal to C(2751, 2).

It is not a de Polignac number, because 3782625 - 2³ = 3782617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 3⁶ + 7³ + 8² + 2¹² + 6⁸ + 2²¹ + 5⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28810 + ... + 28940.

It is an arithmetic number, because the mean of its divisors is an integer number (123552).

Almost surely, 2^3782625 is an apocalyptic number.

3782625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3782625 is the 2750-th triangular number.

It is an amenable number.

3782625 is an abundant number, since it is smaller than the sum of its proper divisors (4124703).

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

3782625 is a wasteful number, since it uses less digits than its factorization.

3782625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 3782625 is about 1944.8971695182. The cubic root of 3782625 is about 155.8108736986.

It can be divided in two parts, 378 and 2625, that added together give a palindrome (3003).

The spelling of 3782625 in words is "three million, seven hundred eighty-two thousand, six hundred twenty-five".