3672858582761 has 2 divisors, whose sum is σ = 3672858582762. Its totient is φ = 3672858582760.

The previous prime is 3672858582703. The next prime is 3672858582793. The reversal of 3672858582761 is 1672858582763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3218906045161 + 453952537600 = 1794131^2 + 673760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3672858582761 is a prime.

It is a super-2 number, since 2×3672858582761² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3672858582691 and 3672858582700.

It is not a weakly prime, because it can be changed into another prime (3672858582661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1836429291380 + 1836429291381.

It is an arithmetic number, because the mean of its divisors is an integer number (1836429291381).

Almost surely, 2^{3672858582761} is an apocalyptic number.

It is an amenable number.

3672858582761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3672858582761 is an equidigital number, since it uses as much as digits as its factorization.

3672858582761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270950400, while the sum is 68.

The spelling of 3672858582761 in words is "three trillion, six hundred seventy-two billion, eight hundred fifty-eight million, five hundred eighty-two thousand, seven hundred sixty-one".