345041424 has 320 divisors, whose sum is σ = 1246586880. Its totient is φ = 88957440.

The previous prime is 345041413. The next prime is 345041441. The reversal of 345041424 is 424140543.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2633839 + ... + 2633969.

It is an arithmetic number, because the mean of its divisors is an integer number (3895584).

Almost surely, 2^345041424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623293440).

345041424 is an abundant number, since it is smaller than the sum of its proper divisors (901545456).

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

345041424 is a wasteful number, since it uses less digits than its factorization.

345041424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 345041424 is about 18575.2906841320. The cubic root of 345041424 is about 701.3859778063.

Adding to 345041424 its reverse (424140543), we get a palindrome (769181967).

The spelling of 345041424 in words is "three hundred forty-five million, forty-one thousand, four hundred twenty-four".