349312176 has 100 divisors (see below), whose sum is σ = 1015020600. Its totient is φ = 115976448.

The previous prime is 349312157. The next prime is 349312199. The reversal of 349312176 is 671213943.

It is a super-3 number, since 3×349312176³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 349312176.

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 19 ways as a sum of consecutive naturals, for example, 529735 + ... + 530393.

It is an arithmetic number, because the mean of its divisors is an integer number (10150206).

Almost surely, 2^349312176 is an apocalyptic number.

349312176 is a gapful number since it is divisible by the number (36) 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 349312176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507510300).

349312176 is an abundant number, since it is smaller than the sum of its proper divisors (665708424).

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

349312176 is a wasteful number, since it uses less digits than its factorization.

349312176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 349312176 is about 18689.8950237822. The cubic root of 349312176 is about 704.2679227305.

The spelling of 349312176 in words is "three hundred forty-nine million, three hundred twelve thousand, one hundred seventy-six".