3411220608601 has 27 divisors (see below), whose sum is σ = 3817638705087. Its totient is φ = 3046579314480.

The previous prime is 3411220608577. The next prime is 3411220608613. The reversal of 3411220608601 is 1068060221143.

The square root of 3411220608601 is 1846949.

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., 504618433225 + 2906602175376 = 710365^2 + 1704876^2 .

It is not a de Polignac number, because 3411220608601 - 2²⁹ = 3410683737689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3411220608671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 744318156 + ... + 744322738.

Almost surely, 2^{3411220608601} is an apocalyptic number.

3411220608601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3411220608601 is the 1846949-th square number.

3411220608601 is the 923475-th centered octagonal number.

It is an amenable number.

3411220608601 is a deficient number, since it is larger than the sum of its proper divisors (406418096486).

3411220608601 is an frugal number, since it uses more digits than its factorization.

3411220608601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 3411220608601 its reverse (1068060221143), we get a palindrome (4479280829744).

The spelling of 3411220608601 in words is "three trillion, four hundred eleven billion, two hundred twenty million, six hundred eight thousand, six hundred one".