349710768 has 240 divisors, whose sum is σ = 1155997440. Its totient is φ = 97574400.

The previous prime is 349710763. The next prime is 349710773. The reversal of 349710768 is 867017943.

It is an interprime number because it is at equal distance from previous prime (349710763) and next prime (349710773).

It is not an unprimeable number, because it can be changed into a prime (349710763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056363 + ... + 1056693.

It is an arithmetic number, because the mean of its divisors is an integer number (4816656).

Almost surely, 2^349710768 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 349710768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577998720).

349710768 is an abundant number, since it is smaller than the sum of its proper divisors (806286672).

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

349710768 is a wasteful number, since it uses less digits than its factorization.

349710768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 349710768 is about 18700.5552858732. Note that the first 3 decimals coincide. The cubic root of 349710768 is about 704.5356954890.

It can be divided in two parts, 349 and 710768, that added together give a palindrome (711117).

The spelling of 349710768 in words is "three hundred forty-nine million, seven hundred ten thousand, seven hundred sixty-eight".