3825738 has 64 divisors (see below), whose sum is σ = 10080000. Its totient is φ = 1052352.

The previous prime is 3825721. The next prime is 3825739. The reversal of 3825738 is 8375283.

3825738 is a `hidden beast` number, since 3 + 82 + 573 + 8 = 666.

It is a d-powerful number, because it can be written as 3² + 8 + 2¹⁷ + 5⁵ + 7² + 3¹³ + 8⁷ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10788 + ... + 11136.

It is an arithmetic number, because the mean of its divisors is an integer number (157500).

Almost surely, 2^3825738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040000).

3825738 is an abundant number, since it is smaller than the sum of its proper divisors (6254262).

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

3825738 is a wasteful number, since it uses less digits than its factorization.

3825738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

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

The square root of 3825738 is about 1955.9493858482. The cubic root of 3825738 is about 156.4005976303.

The spelling of 3825738 in words is "three million, eight hundred twenty-five thousand, seven hundred thirty-eight".