346384961 has 8 divisors (see below), whose sum is σ = 385893480. Its totient is φ = 308714112.

The previous prime is 346384897. The next prime is 346384981. The reversal of 346384961 is 169483643.

It can be written as a sum of positive squares in 4 ways, for example, as 1168561 + 345216400 = 1081^2 + 18580^2 .

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 346384961 - 2⁶ = 346384897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346384981) 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, 459020 + ... + 459773.

It is an arithmetic number, because the mean of its divisors is an integer number (48236685).

Almost surely, 2^346384961 is an apocalyptic number.

It is an amenable number.

346384961 is a deficient number, since it is larger than the sum of its proper divisors (39508519).

346384961 is a wasteful number, since it uses less digits than its factorization.

346384961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918835.

The product of its digits is 373248, while the sum is 44.

The square root of 346384961 is about 18611.4201768699. The cubic root of 346384961 is about 702.2951609562.

The spelling of 346384961 in words is "three hundred forty-six million, three hundred eighty-four thousand, nine hundred sixty-one".