3826768 has 40 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 1635840.

The previous prime is 3826741. The next prime is 3826769. The reversal of 3826768 is 8676283.

3826768 = T₃₀₇ + T₃₀₈ + ... + T₃₇₂.

It is a happy number.

It is a d-powerful number, because it can be written as 3⁴ + 8⁵ + 2⁷ + 6³ + 7⁵ + 6⁸ + 8⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3826768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2353 + ... + 3631.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 2^3826768 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 3826768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3826768 is an abundant number, since it is smaller than the sum of its proper divisors (4744112).

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

3826768 is a wasteful number, since it uses less digits than its factorization.

3826768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 3826768 is about 1956.2126673754. The cubic root of 3826768 is about 156.4146322349.

The spelling of 3826768 in words is "three million, eight hundred twenty-six thousand, seven hundred sixty-eight".