349007184 has 80 divisors (see below), whose sum is σ = 1018833600. Its totient is φ = 114355584.

The previous prime is 349007171. The next prime is 349007189. The reversal of 349007184 is 481700943.

It is a happy number.

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 (349007189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18642 + ... + 32334.

It is an arithmetic number, because the mean of its divisors is an integer number (12735420).

Almost surely, 2^349007184 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 349007184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509416800).

349007184 is an abundant number, since it is smaller than the sum of its proper divisors (669826416).

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

349007184 is a wasteful number, since it uses less digits than its factorization.

349007184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13769 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 349007184 is about 18681.7339666317. The cubic root of 349007184 is about 704.0628925390.

The spelling of 349007184 in words is "three hundred forty-nine million, seven thousand, one hundred eighty-four".