349028352 has 150 divisors (see below), whose sum is σ = 1046709048. Its totient is φ = 115900416.

The previous prime is 349028333. The next prime is 349028353. The reversal of 349028352 is 253820943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349028353) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326973 + ... + 1327235.

Almost surely, 2^349028352 is an apocalyptic number.

349028352 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 349028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523354524).

349028352 is an abundant number, since it is smaller than the sum of its proper divisors (697680696).

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

349028352 is an frugal number, since it uses more digits than its factorization.

349028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 349028352 is about 18682.3005007413. The cubic root of 349028352 is about 704.0771265363.

The spelling of 349028352 in words is "three hundred forty-nine million, twenty-eight thousand, three hundred fifty-two".