3826746 has 72 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 990000.

The previous prime is 3826741. The next prime is 3826769. The reversal of 3826746 is 6476283.

3826746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3⁵ + 8⁷ + 2¹¹ + 6⁶ + 7 + 4⁵ + 6⁸ .

Its product of digits (48384) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3826746.

It is not an unprimeable number, because it can be changed into a prime (3826741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15121 + ... + 15371.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 2^3826746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3826746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3826746 is an abundant number, since it is smaller than the sum of its proper divisors (6630246).

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

3826746 is a wasteful number, since it uses less digits than its factorization.

3826746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3826746 is about 1956.2070442568. The cubic root of 3826746 is about 156.4143324930.

The spelling of 3826746 in words is "three million, eight hundred twenty-six thousand, seven hundred forty-six".