3444234400 has 72 divisors (see below), whose sum is σ = 8509705344. Its totient is φ = 1361068800.

The previous prime is 3444234379. The next prime is 3444234403. The reversal of 3444234400 is 44324443.

It is not an unprimeable number, because it can be changed into a prime (3444234403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40465 + ... + 92335.

It is an arithmetic number, because the mean of its divisors is an integer number (118190352).

Almost surely, 2^3444234400 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 3444234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254852672).

3444234400 is an abundant number, since it is smaller than the sum of its proper divisors (5065470944).

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

3444234400 is a wasteful number, since it uses less digits than its factorization.

3444234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51974 (or 51961 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3444234400 is about 58687.6000531628. The cubic root of 3444234400 is about 1510.1876000418.

Adding to 3444234400 its reverse (44324443), we get a palindrome (3488558843).

The spelling of 3444234400 in words is "three billion, four hundred forty-four million, two hundred thirty-four thousand, four hundred".