3801168 has 100 divisors (see below), whose sum is σ = 12603360. Its totient is φ = 1083456.

The previous prime is 3801163. The next prime is 3801169. The reversal of 3801168 is 8611083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8863 + ... + 9281.

Almost surely, 2^3801168 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 3801168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301680).

3801168 is an abundant number, since it is smaller than the sum of its proper divisors (8802192).

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

3801168 is a wasteful number, since it uses less digits than its factorization.

3801168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3801168 is about 1949.6584316233. The cubic root of 3801168 is about 156.0650616189.

It can be divided in two parts, 3801 and 168, that added together give a square (3969 = 63²).

The spelling of 3801168 in words is "three million, eight hundred one thousand, one hundred sixty-eight".