349189952 has 56 divisors (see below), whose sum is σ = 725375232. Its totient is φ = 166579200.

The previous prime is 349189943. The next prime is 349189969. The reversal of 349189952 is 259981943.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 349189952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143627 + ... + 146037.

Almost surely, 2^349189952 is an apocalyptic number.

349189952 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 349189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362687616).

349189952 is an abundant number, since it is smaller than the sum of its proper divisors (376185280).

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

349189952 is a wasteful number, since it uses less digits than its factorization.

349189952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2517 counting only the distinct ones).

The product of its digits is 699840, while the sum is 50.

The square root of 349189952 is about 18686.6249494123. The cubic root of 349189952 is about 704.1857722549.

The spelling of 349189952 in words is "three hundred forty-nine million, one hundred eighty-nine thousand, nine hundred fifty-two".