349102752 has 72 divisors (see below), whose sum is σ = 973548576. Its totient is φ = 109513728.

The previous prime is 349102739. The next prime is 349102753. The reversal of 349102752 is 257201943.

It is not an unprimeable number, because it can be changed into a prime (349102753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21453 + ... + 34035.

It is an arithmetic number, because the mean of its divisors is an integer number (13521508).

Almost surely, 2^349102752 is an apocalyptic number.

349102752 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 349102752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486774288).

349102752 is an abundant number, since it is smaller than the sum of its proper divisors (624445824).

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

349102752 is a wasteful number, since it uses less digits than its factorization.

349102752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 349102752 is about 18684.2915841088. The cubic root of 349102752 is about 704.1271507596.

The spelling of 349102752 in words is "three hundred forty-nine million, one hundred two thousand, seven hundred fifty-two".