349862328 has 160 divisors (see below), whose sum is σ = 1020872160. Its totient is φ = 111870720.

The previous prime is 349862327. The next prime is 349862339. The reversal of 349862328 is 823268943.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349862327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2094901 + ... + 2095067.

It is an arithmetic number, because the mean of its divisors is an integer number (6380451).

Almost surely, 2^349862328 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 349862328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510436080).

349862328 is an abundant number, since it is smaller than the sum of its proper divisors (671009832).

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

349862328 is a wasteful number, since it uses less digits than its factorization.

349862328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 349862328 is about 18704.6071330034. The cubic root of 349862328 is about 704.6374595922.

The spelling of 349862328 in words is "three hundred forty-nine million, eight hundred sixty-two thousand, three hundred twenty-eight".