3643032412801 has 2 divisors, whose sum is σ = 3643032412802. Its totient is φ = 3643032412800.

The previous prime is 3643032412759. The next prime is 3643032412907. The reversal of 3643032412801 is 1082142303463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3447204922225 + 195827490576 = 1856665^2 + 442524^2 .

It is a cyclic number.

It is not a de Polignac number, because 3643032412801 - 2¹⁵ = 3643032380033 is a prime.

It is not a weakly prime, because it can be changed into another prime (3643032412601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1821516206400 + 1821516206401.

It is an arithmetic number, because the mean of its divisors is an integer number (1821516206401).

Almost surely, 2^{3643032412801} is an apocalyptic number.

It is an amenable number.

3643032412801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3643032412801 is an equidigital number, since it uses as much as digits as its factorization.

3643032412801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 3643032412801 in words is "three trillion, six hundred forty-three billion, thirty-two million, four hundred twelve thousand, eight hundred one".