3382844241001 has 9 divisors (see below), whose sum is σ = 3456439367511. Its totient is φ = 3310784226072.

The previous prime is 3382844240999. The next prime is 3382844241017. The reversal of 3382844241001 is 1001424482833.

The square root of 3382844241001 is 1839251.

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

It can be written as a sum of positive squares in only one way, i.e., 3271739352025 + 111104888976 = 1808795^2 + 333324^2 .

It is not a de Polignac number, because 3382844241001 - 2¹ = 3382844240999 is a prime.

It is a super-2 number, since 2×3382844241001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3382844241061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86425231 + ... + 86464363.

Almost surely, 2^{3382844241001} is an apocalyptic number.

3382844241001 is the 1839251-st square number.

3382844241001 is the 919626-th centered octagonal number.

It is an amenable number.

3382844241001 is a deficient number, since it is larger than the sum of its proper divisors (73595126510).

3382844241001 is an frugal number, since it uses more digits than its factorization.

3382844241001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78360 (or 39180 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 3382844241001 in words is "three trillion, three hundred eighty-two billion, eight hundred forty-four million, two hundred forty-one thousand, one".