3443440000 has 640 divisors, whose sum is σ = 11777230080. Its totient is φ = 967680000.

The previous prime is 3443439997. The next prime is 3443440067. The reversal of 3443440000 is 443443.

It is a happy number.

3443440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80079979 + ... + 80080021.

It is an arithmetic number, because the mean of its divisors is an integer number (18401922).

Almost surely, 2^3443440000 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 3443440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888615040).

3443440000 is an abundant number, since it is smaller than the sum of its proper divisors (8333790080).

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

3443440000 is a wasteful number, since it uses less digits than its factorization.

3443440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3443440000 is about 58680.8316232822. The cubic root of 3443440000 is about 1510.0714847084.

Adding to 3443440000 its reverse (443443), we get a palindrome (3443883443).

It can be divided in two parts, 344 and 3440000, that multiplied together give a square (1183360000 = 34400²).

The spelling of 3443440000 in words is "three billion, four hundred forty-three million, four hundred forty thousand".