345106301424 has 160 divisors (see below), whose sum is σ = 970458511680. Its totient is φ = 105249177600.

The previous prime is 345106301417. The next prime is 345106301429. The reversal of 345106301424 is 424103601543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345106301429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9382782 + ... + 9419490.

It is an arithmetic number, because the mean of its divisors is an integer number (6065365698).

Almost surely, 2^345106301424 is an apocalyptic number.

345106301424 is a gapful number since it is divisible by the number (34) 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 345106301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485229255840).

345106301424 is an abundant number, since it is smaller than the sum of its proper divisors (625352210256).

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

345106301424 is a wasteful number, since it uses less digits than its factorization.

345106301424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37059 (or 37053 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 345106301424 its reverse (424103601543), we get a palindrome (769209902967).

The spelling of 345106301424 in words is "three hundred forty-five billion, one hundred six million, three hundred one thousand, four hundred twenty-four".