3456460456321 has 8 divisors (see below), whose sum is σ = 3659805434664. Its totient is φ = 3253118119680.

The previous prime is 3456460456301. The next prime is 3456460456331. The reversal of 3456460456321 is 1236540646543.

It can be written as a sum of positive squares in 4 ways, for example, as 777149796721 + 2679310659600 = 881561^2 + 1636860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3456460456321 - 2¹⁵ = 3456460423553 is a prime.

It is a super-2 number, since 2×3456460456321² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3456460456301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2452711 + ... + 3595651.

It is an arithmetic number, because the mean of its divisors is an integer number (457475679333).

Almost surely, 2^{3456460456321} is an apocalyptic number.

It is an amenable number.

3456460456321 is a deficient number, since it is larger than the sum of its proper divisors (203344978343).

3456460456321 is a wasteful number, since it uses less digits than its factorization.

3456460456321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320851.

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 3456460456321 in words is "three trillion, four hundred fifty-six billion, four hundred sixty million, four hundred fifty-six thousand, three hundred twenty-one".