345209189176 has 64 divisors (see below), whose sum is σ = 700922419200. Its totient is φ = 159005078400.

The previous prime is 345209189173. The next prime is 345209189177. The reversal of 345209189176 is 671981902543.

It is a happy number.

It is a super-3 number, since 3×345209189176³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (55) 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 (345209189173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172611 + ... + 848653.

It is an arithmetic number, because the mean of its divisors is an integer number (10951912800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅345209189176 = 690418378352, but 3⋅345209189176 = 1035627567528 is not.

Almost surely, 2^345209189176 is an apocalyptic number.

It is an amenable number.

345209189176 is an abundant number, since it is smaller than the sum of its proper divisors (355713230024).

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

345209189176 is a wasteful number, since it uses less digits than its factorization.

345209189176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676180 (or 676176 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 345209189176 in words is "three hundred forty-five billion, two hundred nine million, one hundred eighty-nine thousand, one hundred seventy-six".