345312126 has 64 divisors (see below), whose sum is σ = 817128000. Its totient is φ = 107716608.

The previous prime is 345312113. The next prime is 345312151. The reversal of 345312126 is 621213543.

345312126 is a `hidden beast` number, since 3 + 4 + 531 + 2 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 345312126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176200 + ... + 178148.

It is an arithmetic number, because the mean of its divisors is an integer number (12767625).

Almost surely, 2^345312126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345312126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408564000).

345312126 is an abundant number, since it is smaller than the sum of its proper divisors (471815874).

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

345312126 is a wasteful number, since it uses less digits than its factorization.

345312126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 345312126 is about 18582.5758709604. The cubic root of 345312126 is about 701.5693538129.

Adding to 345312126 its reverse (621213543), we get a palindrome (966525669).

The spelling of 345312126 in words is "three hundred forty-five million, three hundred twelve thousand, one hundred twenty-six".