3483579187201 has 2 divisors, whose sum is σ = 3483579187202. Its totient is φ = 3483579187200.

The previous prime is 3483579187199. The next prime is 3483579187237. The reversal of 3483579187201 is 1027819753843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2772727852801 + 710851334400 = 1665151^2 + 843120^2 .

It is an emirp because it is prime and its reverse (1027819753843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3483579187201 - 2¹ = 3483579187199 is a prime.

Together with 3483579187199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3483579187601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1741789593600 + 1741789593601.

It is an arithmetic number, because the mean of its divisors is an integer number (1741789593601).

It is a Proth number, since it is equal to 415275 ⋅ 2²³ + 1 and 415275 < 2²³.

Almost surely, 2^{3483579187201} is an apocalyptic number.

It is an amenable number.

3483579187201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3483579187201 is an equidigital number, since it uses as much as digits as its factorization.

3483579187201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 3483579187201 in words is "three trillion, four hundred eighty-three billion, five hundred seventy-nine million, one hundred eighty-seven thousand, two hundred one".