3444114400 has 36 divisors (see below), whose sum is σ = 8407946232. Its totient is φ = 1377645440.

The previous prime is 3444114391. The next prime is 3444114407. The reversal of 3444114400 is 44114443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444114407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2151772 + ... + 2153371.

It is an arithmetic number, because the mean of its divisors is an integer number (233554062).

Almost surely, 2^3444114400 is an apocalyptic number.

It is an amenable number.

3444114400 is an abundant number, since it is smaller than the sum of its proper divisors (4963831832).

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

3444114400 is a wasteful number, since it uses less digits than its factorization.

3444114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305163 (or 4305150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 3444114400 is about 58686.5776817834. The cubic root of 3444114400 is about 1510.1700611061.

Adding to 3444114400 its reverse (44114443), we get a palindrome (3488228843).

It can be divided in two parts, 34441 and 14400, that added together give a square (48841 = 221²).

The spelling of 3444114400 in words is "three billion, four hundred forty-four million, one hundred fourteen thousand, four hundred".