3440279330401 has 27 divisors (see below), whose sum is σ = 3723158132409. Its totient is φ = 3178383566400.

The previous prime is 3440279330357. The next prime is 3440279330413. The reversal of 3440279330401 is 1040339720443.

The square root of 3440279330401 is 1854799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3229212594001 + 211066736400 = 1797001^2 + 459420^2 .

It is not a de Polignac number, because 3440279330401 - 2²⁷ = 3440145112673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3440279330701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1444887231 + ... + 1444889611.

Almost surely, 2^{3440279330401} is an apocalyptic number.

3440279330401 is the 1854799-th square number.

3440279330401 is the 927400-th centered octagonal number.

It is an amenable number.

3440279330401 is a deficient number, since it is larger than the sum of its proper divisors (282878802008).

3440279330401 is an frugal number, since it uses more digits than its factorization.

3440279330401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 3440279330401 in words is "three trillion, four hundred forty billion, two hundred seventy-nine million, three hundred thirty thousand, four hundred one".