3444404000 has 192 divisors, whose sum is σ = 9209622240. Its totient is φ = 1261670400.

The previous prime is 3444403997. The next prime is 3444404027. The reversal of 3444404000 is 4044443.

3444404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 171191056 + 3273212944 = 13084^2 + 57212^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93091982 + ... + 93092018.

Almost surely, 2^3444404000 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 3444404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604811120).

3444404000 is an abundant number, since it is smaller than the sum of its proper divisors (5765218240).

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

3444404000 is an frugal number, since it uses more digits than its factorization.

3444404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 3444404000 is about 58689.0449743391. The cubic root of 3444404000 is about 1510.2123877094.

Adding to 3444404000 its reverse (4044443), we get a palindrome (3448448443).

The spelling of 3444404000 in words is "three billion, four hundred forty-four million, four hundred four thousand".