3782624 has 24 divisors (see below), whose sum is σ = 7623000. Its totient is φ = 1846656.

The previous prime is 3782617. The next prime is 3782629. The reversal of 3782624 is 4262873.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3⁶ + 7 + 8³ + 2⁹ + 6⁸ + 2²¹ + 4⁶ .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (317625).

Almost surely, 2^3782624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811500).

3782624 is an abundant number, since it is smaller than the sum of its proper divisors (3840376).

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

3782624 is a wasteful number, since it uses less digits than its factorization.

3782624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2794 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 3782624 is about 1944.8969124352. The cubic root of 3782624 is about 155.8108599682.

Subtracting 3782624 from its reverse (4262873), we obtain a square (480249 = 693²).

The spelling of 3782624 in words is "three million, seven hundred eighty-two thousand, six hundred twenty-four".