3803268 has 48 divisors (see below), whose sum is σ = 10680320. Its totient is φ = 1029024.

The previous prime is 3803251. The next prime is 3803311. The reversal of 3803268 is 8623083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405 + ... + 2787.

Almost surely, 2^3803268 is an apocalyptic number.

3803268 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3803268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340160).

3803268 is an abundant number, since it is smaller than the sum of its proper divisors (6877052).

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

3803268 is a wasteful number, since it uses less digits than its factorization.

3803268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3803268 is about 1950.1969131347. The cubic root of 3803268 is about 156.0937963213.

Adding to 3803268 its product of nonzero digits (6912), we get a triangular number (3810180 = T₂₇₆₀).

The spelling of 3803268 in words is "three million, eight hundred three thousand, two hundred sixty-eight".