3853368 has 48 divisors (see below), whose sum is σ = 10553400. Its totient is φ = 1270080.

The previous prime is 3853321. The next prime is 3853379. The reversal of 3853368 is 8633583.

3853368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1963²-1.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3⁸ + 8⁴ + 5⁸ + 3¹³ + 3¹³ + 6⁴ + 8⁶ .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7603 + ... + 8093.

Almost surely, 2^3853368 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 3853368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276700).

3853368 is an abundant number, since it is smaller than the sum of its proper divisors (6700032).

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

3853368 is a wasteful number, since it uses less digits than its factorization.

3853368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 605 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3853368 is about 1962.9997452878. Note that the first 3 decimals coincide. The cubic root of 3853368 is about 156.7762102947.

The spelling of 3853368 in words is "three million, eight hundred fifty-three thousand, three hundred sixty-eight".