3444100 has 72 divisors (see below), whose sum is σ = 8499456. Its totient is φ = 1200000.

The previous prime is 3444097. The next prime is 3444101. The reversal of 3444100 is 14443.

It is not an unprimeable number, because it can be changed into a prime (3444101) 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, 34050 + ... + 34150.

It is an arithmetic number, because the mean of its divisors is an integer number (118048).

Almost surely, 2^3444100 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 3444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728).

3444100 is an abundant number, since it is smaller than the sum of its proper divisors (5055356).

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

3444100 is a wasteful number, since it uses less digits than its factorization.

3444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3444100 is about 1855.8286558839. The cubic root of 3444100 is about 151.0167956406.

Adding to 3444100 its reverse (14443), we get a palindrome (3458543).

It can be divided in two parts, 344 and 4100, that added together give a palindrome (4444).

The spelling of 3444100 in words is "three million, four hundred forty-four thousand, one hundred".