345126112 has 72 divisors (see below), whose sum is σ = 733874904. Its totient is φ = 159700992.

The previous prime is 345126107. The next prime is 345126137. The reversal of 345126112 is 211621543.

It is a happy number.

It is a super-2 number, since 2×345126112² = 238224066368473088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619338 + ... + 619894.

It is an arithmetic number, because the mean of its divisors is an integer number (10192707).

Almost surely, 2^345126112 is an apocalyptic number.

345126112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366937452).

345126112 is an abundant number, since it is smaller than the sum of its proper divisors (388748792).

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

345126112 is a wasteful number, since it uses less digits than its factorization.

345126112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 643 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 345126112 is about 18577.5701317476. The cubic root of 345126112 is about 701.4433565368.

Adding to 345126112 its reverse (211621543), we get a palindrome (556747655).

The spelling of 345126112 in words is "three hundred forty-five million, one hundred twenty-six thousand, one hundred twelve".