3801888 has 72 divisors (see below), whose sum is σ = 11099088. Its totient is φ = 1233792.

The previous prime is 3801883. The next prime is 3801899. The reversal of 3801888 is 8881083.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3801883) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12231 + ... + 12537.

It is an arithmetic number, because the mean of its divisors is an integer number (154154).

Almost surely, 2^3801888 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 3801888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549544).

3801888 is an abundant number, since it is smaller than the sum of its proper divisors (7297200).

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

3801888 is a wasteful number, since it uses less digits than its factorization.

3801888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 3801888 is about 1949.8430706085. The cubic root of 3801888 is about 156.0749147088.

The spelling of 3801888 in words is "three million, eight hundred one thousand, eight hundred eighty-eight".