3444120240 has 80 divisors (see below), whose sum is σ = 11647397376. Its totient is φ = 834937600.

The previous prime is 3444120209. The next prime is 3444120259. The reversal of 3444120240 is 420214443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3444120240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649656 + ... + 654935.

Almost surely, 2^3444120240 is an apocalyptic number.

3444120240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3444120240 is an abundant number, since it is smaller than the sum of its proper divisors (8203277136).

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

3444120240 is a wasteful number, since it uses less digits than its factorization.

3444120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304618 (or 1304612 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3444120240 is about 58686.6274376029. The cubic root of 3444120240 is about 1510.1709146771.

Adding to 3444120240 its reverse (420214443), we get a palindrome (3864334683).

The spelling of 3444120240 in words is "three billion, four hundred forty-four million, one hundred twenty thousand, two hundred forty".