346349177172 has 18 divisors (see below), whose sum is σ = 875493753498. Its totient is φ = 115449725712.

The previous prime is 346349177149. The next prime is 346349177173. The reversal of 346349177172 is 271771943643.

It is a happy number.

346349177172 is a `hidden beast` number, since 3 + 463 + 4 + 9 + 1 + 7 + 7 + 172 = 666.

It can be written as a sum of positive squares in only one way, i.e., 333859773636 + 12489403536 = 577806^2 + 111756^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346349177173) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4810405203 + ... + 4810405274.

It is an arithmetic number, because the mean of its divisors is an integer number (48638541861).

Almost surely, 2^346349177172 is an apocalyptic number.

It is an amenable number.

346349177172 is an abundant number, since it is smaller than the sum of its proper divisors (529144576326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346349177172 is a wasteful number, since it uses less digits than its factorization.

346349177172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620810487 (or 9620810482 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 346349177172 in words is "three hundred forty-six billion, three hundred forty-nine million, one hundred seventy-seven thousand, one hundred seventy-two".