3456621651257 has 2 divisors, whose sum is σ = 3456621651258. Its totient is φ = 3456621651256.

The previous prime is 3456621651227. The next prime is 3456621651277. The reversal of 3456621651257 is 7521561266543.

3456621651257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2630611511056 + 826010140201 = 1621916^2 + 908851^2 .

It is a cyclic number.

It is not a de Polignac number, because 3456621651257 - 2²⁸ = 3456353215801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3456621651199 and 3456621651208.

It is not a weakly prime, because it can be changed into another prime (3456621651227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1728310825628 + 1728310825629.

It is an arithmetic number, because the mean of its divisors is an integer number (1728310825629).

Almost surely, 2^{3456621651257} is an apocalyptic number.

It is an amenable number.

3456621651257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3456621651257 is an equidigital number, since it uses as much as digits as its factorization.

3456621651257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072000, while the sum is 53.

The spelling of 3456621651257 in words is "three trillion, four hundred fifty-six billion, six hundred twenty-one million, six hundred fifty-one thousand, two hundred fifty-seven".