3441007440 has 640 divisors, whose sum is σ = 13599129600. Its totient is φ = 793774080.

The previous prime is 3441007439. The next prime is 3441007459. The reversal of 3441007440 is 447001443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51358287 + ... + 51358353.

It is an arithmetic number, because the mean of its divisors is an integer number (21248640).

Almost surely, 2^3441007440 is an apocalyptic number.

3441007440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799564800).

3441007440 is an abundant number, since it is smaller than the sum of its proper divisors (10158122160).

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

3441007440 is a wasteful number, since it uses less digits than its factorization.

3441007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3441007440 is about 58660.1009204723. The cubic root of 3441007440 is about 1509.7158127815.

Adding to 3441007440 its reverse (447001443), we get a palindrome (3888008883).

The spelling of 3441007440 in words is "three billion, four hundred forty-one million, seven thousand, four hundred forty".