349503024 has 160 divisors (see below), whose sum is σ = 1049932800. Its totient is φ = 99256320.

The previous prime is 349503013. The next prime is 349503053. The reversal of 349503024 is 420305943.

It is a Cunningham number, because it is equal to 18695²-1.

It is a junction number, because it is equal to n+sod(n) for n = 349502982 and 349503000.

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, 485737 + ... + 486455.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^349503024 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 349503024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

349503024 is an abundant number, since it is smaller than the sum of its proper divisors (700429776).

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

349503024 is a wasteful number, since it uses less digits than its factorization.

349503024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 349503024 is about 18694.9999732549. Note that the first 4 decimals coincide. The cubic root of 349503024 is about 704.3961591744.

Adding to 349503024 its reverse (420305943), we get a palindrome (769808967).

The spelling of 349503024 in words is "three hundred forty-nine million, five hundred three thousand, twenty-four".