349883766 has 64 divisors (see below), whose sum is σ = 845588160. Its totient is φ = 106790400.

The previous prime is 349883759. The next prime is 349883767. The reversal of 349883766 is 667388943.

349883766 is a `hidden beast` number, since 3 + 498 + 83 + 76 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349883767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28816 + ... + 39116.

It is an arithmetic number, because the mean of its divisors is an integer number (13212315).

Almost surely, 2^349883766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349883766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422794080).

349883766 is an abundant number, since it is smaller than the sum of its proper divisors (495704394).

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

349883766 is a wasteful number, since it uses less digits than its factorization.

349883766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10360 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 349883766 is about 18705.1801915940. The cubic root of 349883766 is about 704.6518516431.

The spelling of 349883766 in words is "three hundred forty-nine million, eight hundred eighty-three thousand, seven hundred sixty-six".