3441888 has 144 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 995328.

The previous prime is 3441887. The next prime is 3441901. The reversal of 3441888 is 8881443.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93006 + ... + 93042.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 2^3441888 is an apocalyptic number.

3441888 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 3441888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

3441888 is an abundant number, since it is smaller than the sum of its proper divisors (7762032).

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

3441888 is a wasteful number, since it uses less digits than its factorization.

3441888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 3441888 is about 1855.2325999723. The cubic root of 3441888 is about 150.9844581463.

The spelling of 3441888 in words is "three million, four hundred forty-one thousand, eight hundred eighty-eight".