346421067657 has 64 divisors (see below), whose sum is σ = 548608389120. Its totient is φ = 190334188800.

The previous prime is 346421067647. The next prime is 346421067667. The reversal of 346421067657 is 756760124643.

346421067657 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (346421067647) and next prime (346421067667).

It is not a de Polignac number, because 346421067657 - 2¹² = 346421063561 is a prime.

It is a super-2 number, since 2×346421067657² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (346421067607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45452307 + ... + 45459927.

It is an arithmetic number, because the mean of its divisors is an integer number (8572006080).

Almost surely, 2^346421067657 is an apocalyptic number.

It is an amenable number.

346421067657 is a deficient number, since it is larger than the sum of its proper divisors (202187321463).

346421067657 is a wasteful number, since it uses less digits than its factorization.

346421067657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454.

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 346421067657 in words is "three hundred forty-six billion, four hundred twenty-one million, sixty-seven thousand, six hundred fifty-seven".